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Search: id:A134319
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| A134319 |
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A007318 * a triangle by rows: for n>0, n zeros followed by 2^n - 1. |
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+0
2
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| 1, 1, 1, 1, 2, 3, 1, 3, 9, 7, 1, 4, 18, 28, 15, 1, 5, 30, 70, 75, 31, 1, 6, 45, 140, 225, 186, 63, 1, 7, 63, 245, 525, 651, 441, 127
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums = A083323: (1, 2, 6, 20, 66, 212, 666,...).
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FORMULA
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Binomial transform of a diagonalized infinite lower triangular matrix with (1, 1, 3, 7, 15,...) in the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
1, 2, 3;
1, 3, 9, 7;
1, 4, 18, 28, 15;
1, 5, 30, 70, 75, 31;
1, 6, 45, 140, 225, 186, 63;
1, 7, 63, 245, 525, 651, 441, 127;
...
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CROSSREFS
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Cf. A083313.
Sequence in context: A058127 A133935 A139633 this_sequence A135091 A010027 A108990
Adjacent sequences: A134316 A134317 A134318 this_sequence A134320 A134321 A134322
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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), Oct 19 2007
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