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A264435
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Triangle read by rows, Bell transform of the complementary Bell numbers (A000587).
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1
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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
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,9
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LINKS
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EXAMPLE
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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]
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PROG
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(Sage) # uses[bell_transform from A264428]
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))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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