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#11 by OEIS Server at Sat May 04 09:26:28 EDT 2024
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Seiichi Manyama, <a href="/A107099/b107099_1.txt">Table of n, a(n) for n = 0..433</a>
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#10 by Michael De Vlieger at Sat May 04 09:26:28 EDT 2024
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Discussion
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| Sat May 04
| 09:26
| OEIS Server: Installed first b-file as b107099.txt.
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#9 by Joerg Arndt at Sat May 04 02:46:25 EDT 2024
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#8 by Seiichi Manyama at Sat May 04 01:45:36 EDT 2024
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#7 by Seiichi Manyama at Sat May 04 01:37:05 EDT 2024
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Seiichi Manyama, <a href="/A107099/b107099_1.txt">Table of n, a(n) for n = 0..433</a>
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#6 by Seiichi Manyama at Sat May 04 01:29:10 EDT 2024
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| NAME
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G.f. satisfies: A(A(x)) = x + 4*x^3, where A(x) = Sum_{n>=0} a(n)*x^(2*n+1).
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#5 by Seiichi Manyama at Sat May 04 01:26:08 EDT 2024
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| PROG
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(PARI) {a) b(n)=) = local(A, B, F); F=x+4*x^3+x*O(x^n); A=F; if(n==0, 0, for(i=0, n, B=serreverse(A); A=(A+subst(B, x, F))/2); polcoeff(A, n, x))}));
a(n) = b(2*n+1);
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Discussion
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| Sat May 04
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| Seiichi Manyama: {b(n)} = {0,1,0,2,0,-6, ... } and {a(n)} = {1,2,-6, ...}. So a(0)=1.
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#4 by Seiichi Manyama at Sat May 04 01:16:38 EDT 2024
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| DATA
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0, 1, 2, -6, 36, -266, 2028, -13596, 50088, 566694, -16598580, 232284876, -1912070088, 631155132, 239439857272, -2781218767224, -17362458802992, 795693633448710, -458070639409908, -335724554310292548, 4520379769156382616, 109439050270732883028, -3828757746830590219608
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| OFFSET
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0,32
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| STATUS
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approved
editing
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#3 by Russ Cox at Fri Mar 30 18:36:46 EDT 2012
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| AUTHOR
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_Paul D. Hanna (pauldhanna(AT)juno.com), _, May 13 2005
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Discussion
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| Fri Mar 30
| 18:36
| OEIS Server: https://oeis.org/edit/global/213
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#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007
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| KEYWORD
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sign,new
sign
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| AUTHOR
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Paul D . Hanna (pauldhanna(AT)juno.com), May 13 2005
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