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A265608
Triangle read by rows: Bell transform of A000262.
0
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.
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
Sequence in context: A355870 A354649 A354650 * A184962 A264436 A122850
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Dec 20 2015
STATUS
approved