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A083011
a(n) = Sum_{k=0..n-1} 7^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.
9
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
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))
KEYWORD
sign
AUTHOR
Benoit Cloitre, May 31 2003
EXTENSIONS
Offset changed to 0 by Seiichi Manyama, Sep 28 2016
STATUS
approved