A265606 - OEIS

A265606

Triangle read by rows: The Bell transform of the quartic factorial numbers (A007696).

1, 0, 1, 0, 1, 1, 0, 5, 3, 1, 0, 45, 23, 6, 1, 0, 585, 275, 65, 10, 1, 0, 9945, 4435, 990, 145, 15, 1, 0, 208845, 89775, 19285, 2730, 280, 21, 1, 0, 5221125, 2183895, 456190, 62965, 6370, 490, 28, 1, 0, 151412625, 62002395, 12676265, 1715490, 171255, 13230, 798, 36, 1

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OFFSET

0,8

LINKS

Table of n, a(n) for n=0..54.

Richell O. Celeste, Roberto B. Corcino, Ken Joffaniel M. Gonzales. Two Approaches to Normal Order Coefficients. Journal of Integer Sequences, Vol. 20 (2017), Article 17.3.5.

Peter Luschny, The Bell transform

EXAMPLE

[1],

[0, 1],

[0, 1, 1],

[0, 5, 3, 1],

[0, 45, 23, 6, 1],

[0, 585, 275, 65, 10, 1],

[0, 9945, 4435, 990, 145, 15, 1],

[0, 208845, 89775, 19285, 2730, 280, 21, 1],

MATHEMATICA

(* The function BellMatrix is defined in A264428. *)