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A229659 9-section a(9n+k) gives k-th differences of a for k=0..8 with a(n)=0 for n<8 and a(8)=1.

%I A229659 #8 Jan 26 2014 17:13:05
%S A229659 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,-8,0,0,0,0,0,0,1,-7,28,0,0,0,0,0,1,
%T A229659 -6,21,-56,0,0,0,0,1,-5,15,-35,70,0,0,0,1,-4,10,-20,35,-56,0,0,1,-3,6,
%U A229659 -10,15,-21,28,0,1,-2,3,-4,5,-6,7,-8,1,-1,1,-1
%N A229659 9-section a(9n+k) gives k-th differences of a for k=0..8 with a(n)=0 for n<8 and a(8)=1.
%H A229659 Alois P. Heinz, <a href="/A229659/b229659.txt">Table of n, a(n) for n = 0..10000</a>
%F A229659 a(9*n+k) = Sum_{j=0..k} (-1)^j * C(k,j) * a(n+k-j) for k=0..8.
%p A229659 a:= proc(n) option remember; local m, q;
%p A229659       m:= irem(n, 9, 'q'); `if`(n<9, `if`(n=8, 1, 0),
%p A229659       add(a(q+m-j)*(-1)^j*binomial(m, j), j=0..m))
%p A229659     end:
%p A229659 seq(a(n), n=0..100);
%Y A229659 Cf. A005590, A229653, A229654, A229655, A229656, A229657, A229658, A229660.
%K A229659 sign,look,eigen
%O A229659 0,18
%A A229659 _Alois P. Heinz_, Sep 27 2013