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A264435
Triangle read by rows, Bell transform of the complementary Bell numbers (A000587).
1
1, 0, 1, 0, -1, 1, 0, 0, -3, 1, 0, 1, 3, -6, 1, 0, 1, 5, 15, -10, 1, 0, -2, -9, 0, 45, -15, 1, 0, -9, -35, -84, -70, 105, -21, 1, 0, -9, 19, -14, -259, -350, 210, -28, 1, 0, 50, 369, 873, 966, -189, -1134, 378, -36, 1, 0, 267, 611, 1260, 3645, 5565, 1827, -2940, 630, -45, 1
OFFSET
0,9
EXAMPLE
Triangle starts:
[1]
[0, 1]
[0, -1, 1]
[0, 0, -3, 1]
[0, 1, 3, -6, 1]
[0, 1, 5, 15, -10, 1]
[0, -2, -9, 0, 45, -15, 1]
[0, -9, -35, -84, -70, 105, -21, 1]
[0, -9, 19, -14, -259, -350, 210, -28, 1]
[0, 50, 369, 873, 966, -189, -1134, 378, -36, 1]
[0, 267, 611, 1260, 3645, 5565, 1827, -2940, 630, -45, 1]
PROG
(Sage) # uses[bell_transform from A264428]
def A264435_triangle(dim):
uno = [1]*dim
complementary_bell_numbers = [sum((-1)^n*b for (n, b) in enumerate (bell_transform(n, uno))) for n in range(dim)]
for n in range(dim):
print(bell_transform(n, complementary_bell_numbers))
A264435_triangle(12)
CROSSREFS
Sequence in context: A304326 A099905 A268441 * A356656 A085391 A280880
KEYWORD
sign,tabl
AUTHOR
Peter Luschny, Dec 01 2015
STATUS
approved