The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A361096

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A361096

E.g.f. satisfies A(x) = exp( 1/(1 - x/A(x)^2) - 1 ).
(history; published version)

#12 by Joerg Arndt at Wed Mar 15 11:11:37 EDT 2023

STATUS

reviewed

approved

#11 by Andrew Howroyd at Wed Mar 15 11:08:37 EDT 2023

STATUS

proposed

reviewed

#10 by Winston de Greef at Tue Mar 14 14:54:51 EDT 2023

STATUS

editing

proposed

#9 by Winston de Greef at Tue Mar 14 14:51:32 EDT 2023

LINKS

Winston de Greef, <a href="/A361096/b361096.txt">Table of n, a(n) for n = 0..385</a>

STATUS

approved

editing

#8 by Michael De Vlieger at Thu Mar 02 07:19:16 EST 2023

STATUS

proposed

approved

#7 by Seiichi Manyama at Thu Mar 02 04:51:57 EST 2023

STATUS

editing

proposed

#6 by Seiichi Manyama at Wed Mar 01 21:44:42 EST 2023

FORMULA

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

#5 by Seiichi Manyama at Wed Mar 01 21:44:17 EST 2023

DATA

1, 1, -1, 1, 17, -339, 4999, -63587, 566145, 3549241, -405637489, 15518099961, -446235202799, 9617693853925, -75522664207017, -7341781870733099, 596513949276803969, -30104875035438797583, 1144712508931072057375, -27381639204739332379151

#4 by Seiichi Manyama at Wed Mar 01 21:43:46 EST 2023

PROG

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

#3 by Seiichi Manyama at Wed Mar 01 20:55:37 EST 2023

CROSSREFS

Cf. A052873, A361093, A361094, A361095, A361097.