Revision History for A370474
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#14 by Michael De Vlieger at Sun Mar 31 08:47:16 EDT 2024
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#13 by Joerg Arndt at Sun Mar 31 04:10:11 EDT 2024
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#12 by Seiichi Manyama at Sun Mar 31 03:34:59 EDT 2024
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#11 by Seiichi Manyama at Sun Mar 31 03:11:57 EDT 2024
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| FORMULA
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a(n) = Sum{k=0..n} binomial(n,k) * binomial(3*n/2+3*k/2+1,n)/(3*n/2+3*k/2+1).
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#10 by Seiichi Manyama at Sun Mar 31 02:05:58 EDT 2024
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#9 by Seiichi Manyama at Sun Mar 31 02:01:23 EDT 2024
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| DATA
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1, 2, 9, 54, 372, 2778, 21873, 178786, 1502649, 12904524, 112741664, 998871030, 8953443276, 81047485148, 739846170864, 6803054508702, 62954736555836, 585850907166084, 5479077065774682, 51470699845616004, 485456696541512442, 4595280949098247422
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#8 by Seiichi Manyama at Sun Mar 31 02:00:42 EDT 2024
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| PROG
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(PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(3*n/2+3*k/2+1, n)/(3*n/2+3*k/2+1));
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| CROSSREFS
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Cf. A262441, A366400.
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#7 by Seiichi Manyama at Sun Mar 31 01:57:43 EDT 2024
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#6 by Seiichi Manyama at Sun Mar 31 01:54:23 EDT 2024
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| NAME
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allocated for Seiichi Manyama
G.f. satisfies A(x) = 1 + x * A(x)^(3/2) * (1 + A(x)^(3/2)).
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| DATA
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1, 2, 9, 54, 372, 2778, 21873, 178786, 1502649, 12904524, 112741664, 998871030, 8953443276, 81047485148, 739846170864, 6803054508702, 62954736555836, 585850907166084
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| OFFSET
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0,2
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| KEYWORD
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allocated
nonn
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| AUTHOR
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Seiichi Manyama, Mar 31 2024
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| STATUS
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approved
editing
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#5 by Seiichi Manyama at Sun Mar 31 01:54:23 EDT 2024
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| NAME
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allocated for Seiichi Manyama
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| KEYWORD
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recycled
allocated
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