The On-Line Encyclopedia of Integer Sequences (OEIS)

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A103996

Recurrence: a(n) = -Sum[i=0..n-1, a(i)*C(n+1,i) ], a(0)=1.
(history; published version)

#10 by Vaclav Kotesovec at Wed May 06 11:54:21 EDT 2015

STATUS

editing

approved

#9 by Vaclav Kotesovec at Wed May 06 11:51:33 EDT 2015

CROSSREFS

Cf. A256006.

STATUS

approved

editing

#8 by OEIS Server at Wed May 06 11:35:59 EDT 2015

LINKS

Vaclav Kotesovec, <a href="/A103996/b103996_1.txt">Table of n, a(n) for n = 0..268</a>

#7 by Vaclav Kotesovec at Wed May 06 11:35:59 EDT 2015

STATUS

editing

approved

Discussion

Wed May 06

11:35

OEIS Server: Installed new b-file as b103996.txt.  Old b-file is now b103996_1.txt.

#6 by Vaclav Kotesovec at Wed May 06 11:34:48 EDT 2015

LINKS

Vaclav Kotesovec, <a href="/A103996/b103996_1.txt">Table of n, a(n) for n = 10..268</a>

EXTENSIONS

Offset changed to 0 by Vaclav Kotesovec, May 06 2015

#5 by Vaclav Kotesovec at Wed May 06 11:32:29 EDT 2015

OFFSET

1,0,3

FORMULA

a(n) ~ (-1)^n * c * n^(2*n+4/3) / (2^n * exp(2*n)), where c = 6.48036478570177035603430551468143689346603193431525230833621534239220049... . - Vaclav Kotesovec, May 06 2015

#4 by Vaclav Kotesovec at Wed May 06 10:28:52 EDT 2015

LINKS

Vaclav Kotesovec, <a href="/A103996/b103996.txt">Table of n, a(n) for n = 1..268</a>

#3 by Vaclav Kotesovec at Wed May 06 10:03:53 EDT 2015

MATHEMATICA

nmax = 30; aa = ConstantArray[0, nmax+1]; aa[[1]] = 1; Do[aa[[n+1]]=-Sum[Binomial[n+1, k]*aa[[k+1]], {k, 0, n-1}], {n, 1, nmax}]; aa (* Vaclav Kotesovec, May 06 2015 *)

STATUS

approved

editing

#2 by Charles R Greathouse IV at Wed Apr 30 01:31:16 EDT 2014

AUTHOR

_Ralf Stephan, _, Feb 24 2005

Discussion

Wed Apr 30

01:31

OEIS Server: https://oeis.org/edit/global/2173

#1 by N. J. A. Sloane at Sat Apr 09 03:00:00 EDT 2005

NAME

Recurrence: a(n) = -Sum[i=0..n-1, a(i)*C(n+1,i) ], a(0)=1.

DATA

1, -1, 2, -9, 74, -955, 17744, -448077, 14751974, -613569711, 31452344252, -1947832408225, 143356013568338, -12366684481981635, 1235842203066704648, -141628365906835323573, 18449654196553852968254

OFFSET

1,3

KEYWORD

sign

AUTHOR

Ralf Stephan, Feb 24 2005

STATUS

approved