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Search: id:A133807
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| 1, 2, 1, 3, 4, 1, 4, 9, 4, 1, 5, 16, 10, 6, 1, 6, 25, 20, 20, 6, 1, 7, 36, 35, 50, 21, 8, 1, 8, 49, 56, 105, 56, 35, 8, 1, 9, 64, 84, 196, 126, 112, 36, 10, 1, 10, 81, 120, 336, 252, 294, 120, 54, 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, 158,...).
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FORMULA
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Binomial transform of matrix M, where M = (A097806 + A133566 - I) = triangle with (1,1,1,...) in the main diagonal, (1,2,1,2,1,...) in the subdiagonal, and the rest zeros. I = Identity matrix.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
3, 4, 1;
4, 9, 4, 1;
5, 16, 10, 6, 1;
6, 25, 20, 20, 6, 1;
7, 36, 35, 50, 21, 8, 1;
...
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CROSSREFS
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Cf. A133566, A097806, A133806.
Sequence in context: A076832 A078925 A072506 this_sequence A093375 A103283 A104698
Adjacent sequences: A133804 A133805 A133806 this_sequence A133808 A133809 A133810
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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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