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%I #2 Mar 30 2012 17:28:04
%S 3,14,36,36,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
%N A000004 preceded by 3, 14, 36, 36, 12.
%C Inverse binomial transform of A166941/2.
%F a(0) = 3, a(1) = 14, a(2) = 36, a(3) = 36, a(4) = 12, a(n) = 0 for n > 4.
%F G.f.: 3+14*x+36*x^2+36*x^3+12*x^4.
%o (PARI) {concat([3, 14, 36, 36, 12], vector(98))}
%Y Cf. A000004 (zero sequence), A166941 (product plus sum of four consecutive nonnegative numbers), A166926 (1, 2, 4, 0, 0, 0, 0, ...), A130706 (1, 2, 0, 0, 0, 0, ...), A130779 (1, 1, 2, 0, 0, 0, 0, ...).
%K easy,nonn
%O 0,1
%A _Klaus Brockhaus_, Nov 13 2009
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