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Search: id:A101508
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| 1, 2, 1, 4, 2, 1, 8, 4, 3, 1, 16, 8, 6, 4, 1, 32, 16, 11, 10, 5, 1, 64, 32, 21, 20, 15, 6, 1, 128, 64, 42, 36, 35, 21, 7, 1, 256, 128, 85, 64, 70, 56, 28, 8, 1, 512, 256, 171, 120, 127, 126, 84, 36, 9, 1, 1024, 512, 342, 240, 220, 252, 210, 120, 45, 10, 1, 2048, 1024, 683, 496
(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 are A101509. Diagonal sums are A101510.
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FORMULA
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Number triangle T(n, k)=sum{i=0..n, if(mod(i+1, k+1)=0, binomial(n, i), 0)}; Rows have g.f. x^k/((1-x)^(k+1)-x^(k+1)).
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EXAMPLE
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Rows begin {1}, {2,1}, {4,2,1}, {8,4,3,1}, {16,8,6,4,1},....
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CROSSREFS
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Sequence in context: A138895 A138846 A130321 this_sequence A106471 A054453 A109433
Adjacent sequences: A101505 A101506 A101507 this_sequence A101509 A101510 A101511
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Dec 05 2004
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