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%I #20 Sep 28 2016 10:23:17
%S 0,1,-6,15,36,-335,-1098,16955,73032,-1503963,-8075430,204957775,
%T 1319806188,-39666688711,-297958666242,10337889346275,88743928066704,
%U -3489994294713779,-33703905982634334,1481439997178305655,15896303102840841780,-772269573963075710367
%N a(n) = Sum_{k=0..n-1} 7^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.
%H Seiichi Manyama, <a href="/A083011/b083011.txt">Table of n, a(n) for n = 0..441</a>
%t 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 *)
%o (PARI) a(n)=sum(k=0,n-1,7^k*binomial(n,k)*bernfrac(k))
%Y Cf. A001469.
%Y Cf. A036968, A083007, A083008, A083009, A083010, A083012, A083013, A083014.
%K sign
%O 0,3
%A _Benoit Cloitre_, May 31 2003
%E Offset changed to 0 by _Seiichi Manyama_, Sep 28 2016