login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A083013 a(n) = Sum_{k=0..n-1} 9^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number. 9
0, 1, -8, 28, 64, -980, -3104, 81172, 339328, -11878244, -61958240, 2674671076, 16735235392, -855605816468, -6245150369696, 368601472639540, 3074742020313856, -205700802920736452, -1930357641628367072, 144338957346266943364, 1505019970814899568320 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..424

MATHEMATICA

Range[0, 15]! CoefficientList[ Series[ 9x/(1 + Exp[x] + Exp[ 2x] + Exp[ 3x] + Exp[ 4x] + Exp[ 5x] + Exp[ 6x] + Exp[ 7x] + Exp[ 8x]), {x, 0, 15}], x] (* Robert G. Wilson v, Oct 26 2012 *)

Table[Sum[9^k BernoulliB[k]Binomial[n, k], {k, 0, n-1}], {n, 0, 20}] (* Harvey P. Dale, Apr 13 2016 *)

PROG

(PARI) a(n)=sum(k=0, n-1, 9^k*binomial(n, k)*bernfrac(k))

CROSSREFS

Cf. A001469.

Cf. A036968, A083007, A083008, A083009, A083010, A083011, A083012, A083014.

Sequence in context: A101127 A007259 A134747 * A028553 A100182 A321237

Adjacent sequences:  A083010 A083011 A083012 * A083014 A083015 A083016

KEYWORD

sign

AUTHOR

Benoit Cloitre, May 31 2003

EXTENSIONS

Offset changed to 0 by Seiichi Manyama, Sep 28 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 16 21:23 EST 2020. Contains 331975 sequences. (Running on oeis4.)