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Search: id:A133805
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| 1, 2, 1, 4, 3, 1, 7, 6, 4, 1, 11, 10, 11, 5, 1, 16, 15, 25, 15, 6, 22, 21, 50, 35, 22, 7, 1, 29, 28, 91, 70, 63, 28, 8, 1, 37, 36, 154, 126, 154, 84, 37, 9, 1, 46, 45, 246, 210, 336, 210, 129, 45, 10, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A133806: (1, 3, 8, 18, 38, 78, 318,...). Left column = A000124.
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FORMULA
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Binomial transform of (A133566 * A133080) where (A133566 * A133080) = an infinite lower triangular matrix with (1,1,1,...) in the main and subdiagonals, and (1,0,1,0,1,...) in the subsubdiagonal.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
4, 3, 1;
7, 6, 4, 1;
11, 10, 11, 5, 1;
16, 15, 25, 15, 6, 1;
22, 21, 50, 35, 22, 7, 1;
29, 28, 91, 70, 63, 28, 8, 1;
...
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CROSSREFS
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Cf. A133804, A133806. A133080, A133566, A000124.
Sequence in context: A094158 A027421 A131252 this_sequence A131254 A134626 A115450
Adjacent sequences: A133802 A133803 A133804 this_sequence A133806 A133807 A133808
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 23 2007
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