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A264430 Triangle read by rows, Bell transform of second order Bell numbers (A187761). 2
1, 0, 1, 0, 1, 1, 0, 2, 3, 1, 0, 6, 11, 6, 1, 0, 23, 50, 35, 10, 1, 0, 106, 268, 225, 85, 15, 1, 0, 568, 1645, 1603, 735, 175, 21, 1, 0, 3459, 11348, 12572, 6713, 1960, 322, 28, 1, 0, 23544, 86775, 107738, 65352, 22323, 4536, 546, 36, 1, 0, 176850, 727629 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

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

Peter Luschny, The Bell transform

EXAMPLE

Triangle starts:

[1]

[0,    1]

[0,    1,     1]

[0,    2,     3,     1]

[0,    6,    11,     6,    1]

[0,   23,    50,    35,   10,    1]

[0,  106,   268,   225,   85,   15,   1]

[0,  568,  1645,  1603,  735,  175,  21,  1]

[0, 3459, 11348, 12572, 6713, 1960, 322, 28, 1]

PROG

(Sage)

# The function bell_transform is defined in A264428.

def A264430_triangle(dim):

    uno = [1]*dim

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

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

    for n in range(dim): print bell_transform(n, bell_number_2)

A264430_triangle(10)

CROSSREFS

Cf. A000110, A187761, A264428.

Sequence in context: A264428 A256550 A005210 * A264433 A048994 A132393

Adjacent sequences:  A264427 A264428 A264429 * A264431 A264432 A264433

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Nov 13 2015

STATUS

approved

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Last modified March 18 22:11 EDT 2019. Contains 321305 sequences. (Running on oeis4.)