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A264436
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Triangle read by rows, inverse Bell transform of the complementary Bell numbers (A000587); T(n,k) for n>=0 and 0<=k<=n.
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0
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1, 0, 1, 0, 1, 1, 0, 3, 3, 1, 0, 14, 15, 6, 1, 0, 89, 100, 45, 10, 1, 0, 716, 834, 405, 105, 15, 1, 0, 6967, 8351, 4284, 1225, 210, 21, 1, 0, 79524, 97596, 52220, 16009, 3080, 378, 28, 1, 0, 1041541, 1303956, 721674, 233268, 48699, 6804, 630, 36, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,8
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LINKS
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FORMULA
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Row sums are A029768(n-1) for n>=1.
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EXAMPLE
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Triangle starts:
1,
0, 1,
0, 1, 1,
0, 3, 3, 1,
0, 14, 15, 6, 1,
0, 89, 100, 45, 10, 1,
0, 716, 834, 405, 105, 15, 1,
0, 6967, 8351, 4284, 1225, 210, 21, 1,
0, 79524, 97596, 52220, 16009, 3080, 378, 28, 1
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PROG
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(Sage) # uses[bell_transform from A264428, inverse_bell_transform from A264429]
uno = [1]*dim
complementary_bell_numbers = [sum((-1)^n*b for (n, b) in enumerate (bell_transform(n, uno))) for n in (0..dim)]
return inverse_bell_transform(dim, 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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