A275935 Shifts 5 places left under binomial transform.
0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 5, 15, 35, 70, 127, 225, 455, 1260, 4555, 17760, 67265, 241015, 818705, 2666400, 8464210, 26791045, 87104270, 300213875, 1119214050, 4500888827, 19104042345, 83376236115, 366831787085, 1609394914730, 7015234913278, 30426949154855, 131992116224295, 577090099245575, 2565792536742865, 11698401074992087, 55012217948708040
Offset: 0
Formula
Sum_{i=0..n} binomial(n,i)*a(i) = a(n+5).
G.f. A(x) satisfies: A(x) = x^4 + x^5 * A(x/(1 - x)) / (1 - x). - Ilya Gutkovskiy, Jul 01 2021