🚀 go-pugleaf

suzuki@creo-rd.co.jp (Toshitaka Suzuki) writes:
>$@NkLZ!w%/%l%*#R!u#D$G$9!#(J

>    1  3  4  7  9  12  13  16  19  21  $@!&!&!&(J
>    $@!JL58B$KB3$-$^$9!K(J

># $@$3$N?tNs$b(J "A Handbook of Integer Sequence" $@$K=P$F$k$N$+$J!)!dIY;3(J
># $@8)N)Bg3X$N>>1J$5$s(J

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$@=P$F$$$^$;$s$G$7$?!#(J
1, 3, 4, 7 $@$G;O$^$k?tNs$H$7$F$OM-8BNs$r4^$a$F#5DL$j$7$+:\$C$F(J
$@$$$^$;$s!#(J
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$@A4It$G(J 2372 $@8D$N?tNs$7$+:\$C$F$$$^$;$s$7!#(J

-- 
		$@>>1J(J $@6Q!wAm9g8&5f=j(J.$@IY;38)N)Bg3X(J
		matznaga@pu-toyama.ac.jp

$@6aF#(J$@!wIY;NDL8&$G$9!#$7$D$3$/%U%)%m!<$9$k$C$&$+(J:-)

In article <1992Sep3.021043.18308@creo-rd.co.jp>
suzuki@creo-rd.co.jp (Toshitaka Suzuki) writes:

:>  	1  3  4  7  9  12  13  16  19  21  $@!&!&!&(J

$@0J2<Ez!J$i(J$@$7$-$b$N(J;-$@!K(J

$@B3$/$N$O(J 25, 27, 28, 31, 36, 37, ...
$@5,B'$O!"#Z(J[$@"e(J(-3)] $@$K$*$1$k#0$G$J$$%N%k%`!"8@$$49(J$@$($k$H(J {a^2+3*b^2 |
a,b $@":#Z(J $@"J(J (a,b) $@!b(J (0,0)} $@$r>.$5$$=g$KJB$Y$?$b$N$G$9!#(J
$@!t(J  $@>/$J$/$H$b(J 21 $@$^$G$O(J$@0lCW$9$k$+$i@52r$G$7$g$&(J:-P:-)

:>  # $@$3$N?tNs$b(J "A Handbook of Integer Sequence" $@$K=P$F$k$N$+$J!)!dIY(J$@;3(J
:>  # $@8)N)Bg3X$N>>1J$5$s(J

$@=P$F$k$N$+$J!)(J:-)
$@#Z(J[$@"e(J(-3)]$@$O%"%$%<%s%7%e%?%$%s(J Eisenstein $@@0?t4D$H4X78(J$@$7$^$9"w$,!"%"%$%<(J
$@%s%7%e%?%$%s@0?t4D$O%,%&%9(J Gauss $@@0?t4D$H$J$i$s$G!"M-M}@0?t4D$NFs<!3H(J
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$@$^$;$s(J:-):-)
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$@!t(J  $@#Z(J[$@"e(J(-3)]$@$O$=$NItJ,4D$G$9!#(J

$@:#F|$NJVLd!'D6Fq%+%k%H$G$9!#8+$?$@$1(J$@$G$o$+$C$?$iN)GI$KJQ?M$G$9(JB-)
$@!t(J  $@$o$+$j(J{$@$d$9$/(J|$@$K$/$/(J:-P}$@$9$k$?$a!"#1#08D$:$D$K@Z$j$^$7$?!#(J
0, 1, 2, 0, 1, 2, 4, 2, 0, 1,
2, 2, 5, 4, 2, 0, 1, 2, 6, 2,
6, 6, 4, 2, 0, 1, 2, 4, 5, 2,
$@""(J, 4, 4, 4, ...
-----
	$@6aF#!wIY;NDL8&(J

In article <1992Sep3.021043.18308@creo-rd.co.jp> suzuki@creo-rd.co.jp (Toshitaka Suzuki) writes:
>  $B2<5-$N?tNs$G!"8e$KB3$/?t$O!)!!$^$?!"$I$s$J5,B'$N?tNs$G$7$g$&!)(J
>    1  3  4  7  9  12  13  16  19  21  $B!&!&!&(J

$BBg:e650iBg3X$N1[6M$G$9!#(J

$B$(!<$C$H!"@5;03Q7A$N3J;RE@>e$K(J
$B$G$-$k@5;03Q7A$NLL@Q$G$O$J$$$+$7$i(J
$BLL@Q$NC10L$OC10L3J;R$N@5;03Q7A$G$9!#(J

$BNc$($P!"(JMathematica $B$G$+$/$H(J($B$"$^$jH~$7$/$J$$$G$9$,(J)

In[1]:=
Take[Union[Flatten[Table[Round[
 Abs[i+j (0.5+.866025 I)]^2],{i,0,9},{j,0,9}]]],20]

Out[1]:=
{0, 1, 3, 4, 7, 9, 12, 13, 16, 19, 21,
25, 27, 28, 31, 36, 37, 39, 43, 48}

K. Koshigiri
koshi@cc.osaka-kyoiku.ac.jp

In article <1992Sep3.021043.18308@creo-rd.co.jp> suzuki@creo-rd.co.jp (Toshitaka Suzuki) writes:

>$@LdBj(J
>  $@2<5-$N?tNs$G!"8e$KB3$/?t$O!)!!$^$?!"$I$s$J5,B'$N?t(J$@Ns$G$7$g$&!)(J
>
>    1  3  4  7  9  12  13  16  19  21  $@!&!&!&(J
>    $@!JL58B$KB3$-$^$9!K(J

{ a^2 - a \times b + b^2 | a, b $@$O@0?t(J } - { 0 }.
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$B?e:j!w#O#T#S#L$G$9!#(B

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In article Message-ID: <1992Sep3.021043.18308@creo-rd.co.jp>
suzuki@creo-rd.co.jp (Toshitaka Suzuki) writes:
>   $B2<5-$N?tNs$G!"8e$KB3$/?t$O!)!!$^$?!"$I$s$J5,B'$N?tNs$G$7$g$&!)(B
> 
>     1  3  4  7  9  12  13  16  19  21  $B!&!&!&(B
>     $B!JL58B$KB3$-$^$9!K(B

{a^2 + b^2 + ab | a,b $B$O@0?t(B} - {0}

$B$*$J$8$N$,A0$K$"$j$^$7$?$M!#(B(^ ^)
                                     $B?e:j(B  $BBs(B
                                     mizusaki@otsl.oki.co.jp
                                     $B2-%F%/%N%7%9%F%`%:%i%\%i%H%j(B
                                     $B8&5fItBhFs8&5f<<(B

$BNkLZ!w%/%l%*#R!u#D$G$9!#(J

In article <1992Sep3.021043.18308@creo-rd.co.jp> suzuki@creo-rd.co.jp (Toshitaka Suzuki) writes:
>$BLdBj(J
>  $B2<5-$N?tNs$G!"8e$KB3$/?t$O!)!!$^$?!"$I$s$J5,B'$N?tNs$G$7$g$&!)(J
>
>    1  3  4  7  9  12  13  16  19  21  $B!&!&!&(J

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$B4v2?$N9%$-$J=PBj<T$N0U?^$H$7$F$O!"(J

In article <218@okds1.osaka-kyoiku.ac.jp> koshi@okds1.osaka-kyoiku.ac.jp (Kunio Koshigiri) writes:
>$B$(!<$C$H!"@5;03Q7A$N3J;RE@>e$K(J
>$B$G$-$k@5;03Q7A$NLL@Q$G$O$J$$$+$7$i(J
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$B$,5a$a$F$$$?Ez$G!";d$N=P$7$?<0$O(J 

In article <NAGAE.92Sep3181843@cosmos.an.isl.titech.ac.jp> nagae@an.isl.titech.ac.jp writes:
>{ a^2 - a \times b + b^2 | a, b $B$O@0?t(J } - { 0 }.

$B$@$C$?$N$G$9$,!"(J a $B$H(J b $B$rE,Ev$KCV$-49$($l$P<0$O$$$/$i$G$b=P$F$/$k$s(J
$B$G$9$M!#5$$,IU$-$^$;$s$G$7$?!#(J

In article <29246332093@Vlsi117.otsl.oki.co.jp> mizusaki@otsl.oki.co.jp writes:
>{a^2 + b^2 + ab | a,b $B$O@0?t(J} - {0}

$B$3$l$O(J a $B$H(J b $B$N$I$A$i$+0lJ}$@$1%^%$%J%9$K$9$l$P=P$^$9$M!#(J

In article <TACCHAN.92Sep3140006@topor.soft.flab.fujitsu.co.jp> tacchan@flab.fujitsu.co.jp (Tatsuo KONDO) writes:
>$B5,B'$O!"#Z(J[$B"e(J(-3)] $B$K$*$1$k#0$G$J$$%N%k%`!"8@$$49$($k$H(J {a^2+3*b^2 |
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# $B$3$s$J$KAa$/$?$/$5$s2sEz$,Mh$k$H$O;W$o$J$+$C$?!&!&!&(J

$B$H$3$m$G!"(J

In article <matznaga.715493038@amadeus> matznaga@mozart.pu-toyama.ac.jp (Matznaga martin Hitoshi) writes:
>># $B$3$N?tNs$b(J "A Handbook of Integer Sequence" $B$K=P$F$k$N$+$J!)!dIY;3(J
>># $B8)N)Bg3X$N>>1J$5$s(J
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# $BC/$+!"!V@5O;3Q7A$N3J;RE@(J(?)$B>e$K=PMh$k@5O;3Q7A$NLL@Q!W$N<0$r7W;;$7$F(J
# $B$/$l$^$;$s!)!JC1$J$k<qL#$G$9!K(J
# Quiz 3 $B$H$7$F=P$=$&$H;W$C$?$s$G$9$,!"$J$+$J$+LLE]=-$=$&$J$N$G!#(J

$BNkLZ!!=S9'!J(Jsuzuki@creo-rd.co.jp$B!K(J
$B3t<02q<R%/%l%*%"!<%k%"%s%I%G%#!!El5~ET9A6h<G(J5-1-13$B!!F|=;6b;0ED%S%k#93,(J
TEL 03-3454-9302$B!J3+H/ItD>DL!K!?(J03-3454-1330$B!JBeI=!K(J  FAX 03-3454-1372

$B?e:j!w#O#T#S#L$G$9!#(B

In article <1992Sep7.051343.19632@creo-rd.co.jp>
 suzuki@qwerty.creo-rd.co.jp (Toshitaka Suzuki) writes:

> In article <TACCHAN.92Sep3140006@topor.soft.flab.fujitsu.co.jp> tacchan@flab.fujitsu.co.jp (Tatsuo KONDO) writes:
> >$B5,B'$O!"#Z(B[$B"e(B(-3)] $B$K$*$1$k#0$G$J$$%N%k%`!"8@$$49$($k$H(B {a^2+3*b^2 |
> >a,b $B":#Z(B $B"J(B (a,b) $B!b(B (0,0)} $B$r>.$5$$=g$KJB$Y$?$b$N$G$9!#(B
> 
> $B$3$l$OD>4QE*$K$O!J;d$K$O!KJQ7A=PMh$^$;$s$,!"$-$C$H4JC1$JCV49$($G=P$k$s(B
> $B$G$7$g$&$M!#(B

$B$G$^$9!#(B

  $B<XB-$]$$$G$9$,!"(B

   a^2 + b^2 + ab
 = (a + b/2)^2 + 3(b/2)^2

  $B$K$*$$$F!"(Bb $B$r6v?t$H$7$F$h$$$3$H$O?^$r$+$$$F$_$l$P(B
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                                     $B?e:j(B  $BBs(B
                                     mizusaki@otsl.oki.co.jp
                                     $B2-%F%/%N%7%9%F%`%:%i%\%i%H%j(B
                                     $B8&5fItBhFs8&5f<<(B