A275934 Shifts 4 places left under binomial transform.

0, 0, 0, 1, 0, 0, 0, 1, 4, 10, 20, 36, 68, 166, 540, 1961, 7012, 23878, 78004, 250311, 815196, 2787806, 10232556, 40266382, 166608080, 708407020, 3046352440, 13161936881, 57188405288, 251328286460, 1125890398160, 5177570523461, 24539362719532, 119861818560962, 601299401594540, 3082695751138656, 16075855888601716, 85005009812011810, 455172001509369028, 2468935975119176601, 13584735197391443020

Offset

0,9

Links

Table of n, a(n) for n=0..40.

Formula

Sum_{i=0..n} binomial(n,i)*a(i) = a(n+4).

G.f. A(x) satisfies: A(x) = x^3 + x^4 * A(x/(1 - x)) / (1 - x). - Ilya Gutkovskiy, Jul 01 2021

Crossrefs

Cf. A000998, A275935, A275936.

Sequence in context: A360046 A354696 A369851 * A369693 A318338 A008058

Adjacent sequences: A275931 A275932 A275933 * A275935 A275936 A275937

Keyword

nonn,eigen,easy

Author

Olivier Gérard, Aug 12 2016

Status

approved