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A144955
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Binomial transform of a modified version of A026729
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2
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1, 2, 0, 3, 1, 0, 4, 4, 1, 0, 5, 10, 6, 1, 0, 6, 20, 21, 8, 1, 0, 7, 35, 56, 36, 10, 1, 0, 8, 56, 126, 120, 55, 12, 1, 9, 84, 252, 330, 220, 78, 14, 1, 10, 120, 462, 792, 715, 364, 105, 16, 1, 11, 165, 792, 1716, 2002, 1365, 560, 136, 18, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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Row sums = A055588: (1, 2, 4, 9, 22, 56, 145,...).
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LINKS
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Table of n, a(n) for n=0..61.
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FORMULA
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Triangle A026729 is shifted one place down, with a (1, 1, 0, 0, 0...) in the first column; getting:
1;
1, 0;
0, 1, 0;
0, 1, 1, 0;
0, 0, 2, 1, 0;
0, 0, 1, 3, 1, 0;
...
A144955 = A007318 * the modified triangle.
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EXAMPLE
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First few rows of the triangle =
1;
2, 0;
3, 1, 0;
4, 4, 1, 0;
5, 10, 6, 1, 0;
6, 20, 21, 8, 1, 0;
7, 35, 56, 36, 10, 1, 0;
8, 56, 126, 120, 55, 12, 1, 0;
...
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CROSSREFS
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A026729, Cf. A055588
Sequence in context: A208535 A074650 A202064 * A225624 A168020 A225084
Adjacent sequences: A144952 A144953 A144954 * A144956 A144957 A144958
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson, Sep 27 2008
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STATUS
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approved
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