%I #14 Sep 28 2016 10:21:49
%S 0,1,-7,21,49,-595,-1911,39109,165473,-4525731,-23883335,805349237,
%T 5097585297,-203564524787,-1503073984279,69292329479205,
%U 584713994953921,-30553447357629763,-290046835163027943,16939595863125337813,178676615255242261745
%N a(n) = Sum_{k=0..n-1} 8^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.
%H Seiichi Manyama, <a href="/A083012/b083012.txt">Table of n, a(n) for n = 0..432</a>
%t Range[0, 15]! CoefficientList[ Series[ 8x/(1 + Exp[x] + Exp[ 2x] + Exp[ 3x] + Exp[ 4x] + Exp[ 5x] + Exp[ 6x] + Exp[ 7x]), {x, 0, 15}], x] (* _Robert G. Wilson v_, Oct 26 2012 *)
%o (PARI) a(n)=sum(k=0,n-1,8^k*binomial(n,k)*bernfrac(k))
%Y Cf. A001469.
%Y Cf. A036968, A083007, A083008, A083009, A083010, A083011, A083013, A083014.
%K sign
%O 0,3
%A _Benoit Cloitre_, May 31 2003
%E Offset changed to 0 by _Seiichi Manyama_, Sep 28 2016