A083011 a(n) = Sum_{k=0..n-1} 7^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.

0, 1, -6, 15, 36, -335, -1098, 16955, 73032, -1503963, -8075430, 204957775, 1319806188, -39666688711, -297958666242, 10337889346275, 88743928066704, -3489994294713779, -33703905982634334, 1481439997178305655, 15896303102840841780, -772269573963075710367

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..441

Mathematica

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

Prog

(PARI) a(n)=sum(k=0, n-1, 7^k*binomial(n, k)*bernfrac(k))

Crossrefs

Cf. A001469.

Cf. A036968, A083007, A083008, A083009, A083010, A083012, A083013, A083014.

Sequence in context: A245470 A135854 A221905 * A299267 A254008 A277089

Adjacent sequences: A083008 A083009 A083010 * A083012 A083013 A083014

Keyword

sign

Author

Benoit Cloitre, May 31 2003

Extensions

Offset changed to 0 by Seiichi Manyama, Sep 28 2016

Status

approved