A265608 Triangle read by rows: Bell transform of A000262.

1, 0, 1, 0, 1, 1, 0, 3, 3, 1, 0, 13, 15, 6, 1, 0, 73, 95, 45, 10, 1, 0, 501, 723, 390, 105, 15, 1, 0, 4051, 6405, 3843, 1190, 210, 21, 1, 0, 37633, 64615, 42462, 14693, 3010, 378, 28, 1, 0, 394353, 730359, 519993, 197442, 45423, 6678, 630, 36, 1

Offset

0,8

Comments

See A264428 and the link for the definition of the Bell transform.

Links

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

Peter Luschny, The Bell transform

Example

[n\k 0      1      2      3      4     5    6   7  8]
[0] [1]
[1] [0,     1]
[2] [0,     1,     1]
[3] [0,     3,     3,     1]
[4] [0,    13,    15,     6,     1]
[5] [0,    73,    95,    45,    10,    1]
[6] [0,   501,   723,   390,   105,   15,   1]
[7] [0,  4051,  6405,  3843,  1190,  210,  21,  1]
[8] [0, 37633, 64615, 42462, 14693, 3010, 378, 28, 1]

Prog

(Sage) # uses[bell_transform from A264428]
def A265608_row(n):
    fact = [factorial(k) for k in (1..n)]
    fact2 = [sum(bell_transform(k, fact)) for k in range(n)]
    return bell_transform(n, fact2)
[A265608_row(n) for n in (0..9)]

Crossrefs

Cf. A000262, A264428.

Sequence in context: A355870 A354649 A354650 * A184962 A264436 A122850

Adjacent sequences: A265605 A265606 A265607 * A265609 A265610 A265611

Keyword

nonn,tabl

Author

Peter Luschny, Dec 20 2015

Status

approved