A167876 A000004 preceded by 1, 3, 4, 2.

1, 3, 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, 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, 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

Offset

0,2

Comments

Inverse binomial transform of A167875.

Links

Table of n, a(n) for n=0..104.

Formula

a(0) = 1, a(1) = 3, a(2) = 4, a(3) = 2, a(n) = 0 for n > 3.

G.f.: (1+x)*(1+2*x+2*x^2).

Prog

(PARI) {concat([1, 3, 4, 2], vector(99))}

Crossrefs

Cf. A000004 (zero sequence), A167875 (one third of product plus sum of three consecutive nonnegative integers), 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, ...).

Sequence in context: A157783 A123951 A123127 * A241833 A332096 A077451

Adjacent sequences: A167873 A167874 A167875 * A167877 A167878 A167879

Keyword

easy,nonn

Author

Klaus Brockhaus, Nov 14 2009

Status

approved