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Search: id:A133938
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| 1, 2, 1, 4, 2, 1, 7, 4, 4, 1, 11, 8, 11, 4, 1, 16, 15, 25, 11, 6, 1, 22, 26, 50, 26, 22, 6, 1, 29, 42, 91, 56, 63, 22, 8, 1, 37, 64, 154, 112, 154, 64, 37, 8, 1, 46, 93, 24, 210, 336, 162, 129, 37, 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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Left column = A000124: (1, 2, 4, 7, 11,...). Row sums = A133124: (1, 3, 7, 16, 35, 74,...).
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FORMULA
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Binomial transform of matrix M, where M = a tridiagonal matrix with (1,1,1,...) in the main diagonal, (1,0,1,0,...) in the subdiagonal, and (1,1,1,...) in the subsubdiagonal. M = (A129686 + A133080 - I), I = Identity matrix.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
4, 2, 1;
7, 4, 4, 1;
11, 8, 11, 4, 1;
16, 15, 25, 11, 6, 1;
22, 26, 50, 26, 22, 6, 1;
...
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CROSSREFS
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Cf. A000124, A133124, A129686, A133080.
Sequence in context: A059370 A084534 A104582 this_sequence A074586 A134586 A135287
Adjacent sequences: A133935 A133936 A133937 this_sequence A133939 A133940 A133941
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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 29 2007
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