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A099238
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Square array read by anti-diagonals with rows generated by 1/(1-x-x^(k+1)).
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4
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1, 1, 2, 1, 1, 4, 1, 1, 2, 8, 1, 1, 1, 3, 16, 1, 1, 1, 2, 5, 32, 1, 1, 1, 1, 3, 8, 64, 1, 1, 1, 1, 2, 4, 13, 128, 1, 1, 1, 1, 1, 3, 6, 21, 256, 1, 1, 1, 1, 1, 2, 4, 9, 34, 512, 1, 1, 1, 1, 1, 1, 3, 5, 13, 55, 1024, 1, 1, 1, 1, 1, 1, 2, 4, 7, 19, 89, 2048
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OFFSET
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0,3
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COMMENTS
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Sections of rows are given by array A099233. Sums of anti-diagonals yield A097939.
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LINKS
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Table of n, a(n) for n=0..77.
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FORMULA
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Square array T(n, k)=sum{j=0..floor(n/(k+1)), binomial(n-k*j, j)}, n, k>=0.
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EXAMPLE
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Rows begin
1,2,4,8,16,32,.. (A000079)
1,1,2,3,5,8,13,... (A000045)
1,1,1,2,3,4,6,9,... (A000930)
1,1,1,1,2,3,4,5,7,.. (A003269)
1,1,1,1,1,2,3,4,5,.. (A003520)
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CROSSREFS
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Sequence in context: A008307 A192005 A205592 * A141450 A209690 A061462
Adjacent sequences: A099235 A099236 A099237 * A099239 A099240 A099241
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry, Oct 08 2004
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STATUS
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approved
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