The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A377326

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A377326

E.g.f. satisfies A(x) = 1 + (exp(x*A(x)) - 1)/A(x).
(history; published version)

#10 by N. J. A. Sloane at Fri Oct 25 09:29:11 EDT 2024

STATUS

proposed

approved

#9 by Seiichi Manyama at Fri Oct 25 06:55:41 EDT 2024

STATUS

editing

proposed

#8 by Seiichi Manyama at Fri Oct 25 06:28:42 EDT 2024

DATA

1, 1, 1, 4, 15, 96, 665, 6028, 60907, 725560, 9591549, 142574004, 2323440119, 41519079616, 803667844993, 16797423268252, 376458083887875, 9014414549836296, 229564623594841637, 6197477089425914692, 176767174407208663759, 5312208220728020517136, 167760328500471584529321

#7 by Seiichi Manyama at Fri Oct 25 06:14:42 EDT 2024

CROSSREFS

Cf. A052894, A367162, A367163.

#6 by Seiichi Manyama at Fri Oct 25 06:14:01 EDT 2024

CROSSREFS

Cf. A052894, A367162.

#5 by Seiichi Manyama at Fri Oct 25 00:01:32 EDT 2024

FORMULA

a(n) = Sum_{k=0..floor((n+1)/2)} (n-k)!/(n-2*k+1)! * Stirling2(n,k).

#4 by Seiichi Manyama at Thu Oct 24 23:59:33 EDT 2024

CROSSREFS

Cf. A367180, A377324.

#3 by Seiichi Manyama at Thu Oct 24 23:57:55 EDT 2024

DATA

PROG

(PARI) a(n) = sum(k=0, (n+1)\2, (n-k)!/(n-2*k+1)!*stirling(n, k, 2));

#2 by Seiichi Manyama at Thu Oct 24 23:57:15 EDT 2024

NAME

allocated for Seiichi Manyama

E.g.f. satisfies A(x) = 1 + (exp(x*A(x)) - 1)/A(x).

DATA

1, 1, 1, 4, 15, 96, 665, 6028, 60907, 725560, 9591549, 142574004, 2323440119, 41519079616, 803667844993, 16797423268252, 376458083887875, 9014414549836296, 229564623594841637

OFFSET

0,4

KEYWORD

allocated

nonn

AUTHOR

Seiichi Manyama, Oct 24 2024

STATUS

approved

editing

#1 by Seiichi Manyama at Thu Oct 24 23:57:15 EDT 2024

NAME

allocated for Seiichi Manyama

KEYWORD

allocated

STATUS

approved