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
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