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Search: id:A014178
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| A014178 |
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Sum( binomial(n,k)^3*binomial(n+k,k),k=0..n). |
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+0
1
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| 1, 3, 31, 399, 5871, 93753, 1577479, 27556623, 495001327, 9085988613, 169675769781, 3213444254133, 61573700137431, 1191526503165729, 23252920338835911, 457112339182896399, 9043566887755775727
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OFFSET
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0,2
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REFERENCES
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C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.
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MAPLE
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f := n->sum( 'binomial(n, k)^3*binomial(n+k, k)^1', 'k'=0..n);
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CROSSREFS
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Sequence in context: A136024 A051200 A136596 this_sequence A123818 A087591 A061053
Adjacent sequences: A014175 A014176 A014177 this_sequence A014179 A014180 A014181
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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