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Search: id:A133601
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| 1, 3, 1, 5, 3, 1, 7, 6, 5, 1, 9, 10, 14, 5, 1, 11, 15, 30, 15, 7, 1, 13, 21, 55, 35, 27, 7, 1, 15, 28, 91, 70, 77, 28, 9, 1, 17, 36, 140, 126, 182, 84, 44, 9, 1, 19, 45, 204, 210, 378, 210, 156, 45, 11, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A052549: (1, 4, 9, 19, 39, 79,...).
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FORMULA
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A007318 * (A097806 + A1333080 - I), I = Identity matrix. Binomial transform of an infinite lower triangular matrix with (1,1,1,...) in the main diagonal and (2,1,2,1,2,...) in the subdiagonal; and the rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
3, 1;
5, 3, 1;
7, 6, 5, 1;
9, 10, 14, 5, 1;
11, 15, 30, 15, 7, 1;
13, 21, 55, 35, 27, 7, 1;
15, 28, 91, 70, 77, 28, 9, 1;
...
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CROSSREFS
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Cf. A097806, A133080, A052549.
Sequence in context: A084305 A099375 A130301 this_sequence A133094 A122510 A102662
Adjacent sequences: A133598 A133599 A133600 this_sequence A133602 A133603 A133604
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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 18 2007
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