Revision History for A357084
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing all changes.
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#9 by Michael De Vlieger at Sun Sep 11 10:06:30 EDT 2022
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#8 by Joerg Arndt at Sun Sep 11 07:40:23 EDT 2022
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#7 by Seiichi Manyama at Sun Sep 11 07:15:23 EDT 2022
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#6 by Seiichi Manyama at Sun Sep 11 06:05:32 EDT 2022
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| DATA
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1, 0, 2, 6, 98, 990, 19082, 347046, 8512226, 220737390, 6776521082, 225532370646, 8413133799314, 339965749171230, 14995100013227882, 711308930246853126, 36278600375671552322, 1974411768891211652430, 114394542828023045764442
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#5 by Seiichi Manyama at Sun Sep 11 05:20:35 EDT 2022
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| FORMULA
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a(n) = Sum_{k=0..floor(n/2)} (2*k)! * (n+k+1)^(k-1) * Stirling2(n,2*k)/k!.
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#4 by Seiichi Manyama at Sun Sep 11 05:19:07 EDT 2022
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#3 by Seiichi Manyama at Sun Sep 11 05:17:29 EDT 2022
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| PROG
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(PARI) a(n) = sum(k=0, n\2, (2*k)!*(n+k+1)^(k-1)*stirling(n, 2*k, 2)/k!);
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#2 by Seiichi Manyama at Sun Sep 11 05:17:05 EDT 2022
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| NAME
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allocated for Seiichi Manyama
E.g.f. satisfies log(A(x)) = (exp(x*A(x)) - 1)^2 * A(x).
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| DATA
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1, 0, 2, 6, 98, 990, 19082, 347046, 8512226, 220737390, 6776521082, 225532370646, 8413133799314, 339965749171230, 14995100013227882, 711308930246853126, 36278600375671552322
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| OFFSET
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0,3
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| CROSSREFS
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Cf. A349557.
Cf. A357024.
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| KEYWORD
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allocated
nonn
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| AUTHOR
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Seiichi Manyama, Sep 11 2022
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| STATUS
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approved
editing
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#1 by Seiichi Manyama at Sun Sep 11 05:17:05 EDT 2022
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| NAME
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allocated for Seiichi Manyama
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| KEYWORD
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allocated
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| STATUS
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approved
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