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A000004 preceded by 1, 4, 2.
0

%I #5 Jan 20 2022 08:32:16

%S 1,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,

%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 1, 4, 2.

%C Inverse binomial transform of A028387.

%F a(0) = 1, a(1) = 4, a(2) = 2, a(n) = 0 for n > 2.

%F G.f.: 1+4*x+2*x^2.

%o (PARI) {concat([1, 4, 2], vector(100))}

%Y Cf. A000004 (zero sequence), A028387 (n+(n+1)^2), A166926 (1, 2, 4, 0, 0, 0, 0, ...), A130706 (1, 2, 0, 0, 0, 0, ...), A130779 (1, 1, 2, 0, 0, 0, 0, ...), A167858 (3, 14, 36, 36, 12, 0, 0, 0, ...), A167876 (1, 3, 4, 2, 0, 0, 0, ...).

%K easy,nonn

%O 0,2

%A _Klaus Brockhaus_, Nov 14 2009