A264433 - OEIS

A264433

Triangle read by rows, Bell transform of the third-order Bell numbers, T(n,k) for n >= 0 and 0 <= k <= n.

1, 0, 1, 0, 1, 1, 0, 2, 3, 1, 0, 6, 11, 6, 1, 0, 24, 50, 35, 10, 1, 0, 119, 274, 225, 85, 15, 1, 0, 700, 1757, 1624, 735, 175, 21, 1, 0, 4748, 12880, 13104, 6769, 1960, 322, 28, 1, 0, 36403, 106068, 117152, 67200, 22449, 4536, 546, 36, 1, 0, 310851, 968206, 1150050, 720020, 269115, 63273, 9450, 870, 45, 1

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,8

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

[1]

[0, 1]

[0, 1, 1]

[0, 2, 3, 1]

[0, 6, 11, 6, 1]

[0, 24, 50, 35, 10, 1]

[0, 119, 274, 225, 85, 15, 1]

[0, 700, 1757, 1624, 735, 175, 21, 1]

[0, 4748, 12880, 13104, 6769, 1960, 322, 28, 1]

[0, 36403, 106068, 117152, 67200, 22449, 4536, 546, 36, 1]

PROG

(Sage) # uses[bell_transform from A264428]

def A264433_triangle(dim):

uno = [1]*dim

bell_number = [sum(bell_transform(n, uno)) for n in range(dim)]

bell_number_2 = [sum(bell_transform(n, bell_number)) for n in range(dim)]

bell_number_3 = [sum(bell_transform(n, bell_number_2)) for n in range(dim)]

for n in range(dim): print(bell_transform(n, bell_number_3))

A264433_triangle(10)

CROSSREFS

Cf. A000110, A048993, A264428, A264430.

Sequence in context: A005210 A352363 A264430 * A132393 A048994 A344172

Adjacent sequences: A264430 A264431 A264432 * A264434 A264435 A264436

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Dec 02 2015

EXTENSIONS

More terms from Michel Marcus, Mar 27 2020

STATUS

approved