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A264433 Triangle read by rows, Bell transform of the third order Bell numbers, T(n,k) for n>=0 and 0<=k<=n. 0
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..57.

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)

# The function bell_transform is defined in 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: A256550 A005210 A264430 * A048994 A132393 A121434

Adjacent sequences:  A264430 A264431 A264432 * A264434 A264435 A264436

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Dec 02 2015

STATUS

approved

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Last modified March 19 13:22 EDT 2019. Contains 321330 sequences. (Running on oeis4.)