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Search: id:A007403
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| A007403 |
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Sum_{m=0..n} (Sum_{k=0..m} C(n,k))^3 = (n+2)*2^(3*n-1)-3*2^(n-2)*n*binomial(2*n,n).
(Formerly M4656)
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+0
1
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| 1, 9, 92, 920, 8928, 84448, 782464, 7130880, 64117760, 570166784, 5023524864, 43915595776, 381350330368, 3292451880960, 28283033157632, 241884640182272, 2060565937127424, 17492250190544896, 148027589475696640
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. Calkin, A curious binomial identity, Discr. Math., 131 (194), 335-337.
M. Hirschhorn, Calkin's binomial identity, Discr. Math., 159 (1996), 273-278.
Jun Wang and Zhizheng Zhang, On extensions of Calkin's binomial identities, Discrete Math., 274 (2004), 331-342.
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CROSSREFS
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Sequence in context: A068624 A034666 A022505 this_sequence A015587 A024117 A076456
Adjacent sequences: A007400 A007401 A007402 this_sequence A007404 A007405 A007406
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas, Mira Bernstein
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