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Search: id:A002179
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| A002179 |
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Numerators of Cotesian numbers (not in lowest terms): A002176*C(n,2).
(Formerly M2921 N1172)
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+0
6
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| 0, 1, 3, 12, 50, 27, 1323, -928, 1080, -48525, -3237113, -7587864, -31268252574, -770720657, -232936065, -179731134720, -542023437008852, -3212744374395, -926840515700222955, -389358194177500, -17858352159793110
(list; graph; listen)
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OFFSET
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2,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
W. W. Johnson, On Cotesian numbers: their history, computation and values to n=20, Quart. J. Pure Appl. Math., 46 (1914), 52-65.
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PROGRAM
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(PARI) cn(n)= mattranspose(matinverseimage( matrix(n+1, n+1, k, m, (m-1)^(k-1)), matrix(n+1, 1, k, m, n^(k-1)/k)))[ 1, ] \\ vector of quadrature formula coefficients via matrix solution
(PARI) ncn(n)= denominator(cn(n))*cn(n); nk(n, k)= if(k<0|k>n, 0, ncn(n)[ k+1 ]); A002177(n)= nk(n, 2)
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CROSSREFS
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Cf. A100640/A100641, A100620/A100621, A002176-A002178.
Sequence in context: A151175 A151176 A151177 this_sequence A034541 A037765 A037653
Adjacent sequences: A002176 A002177 A002178 this_sequence A002180 A002181 A002182
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KEYWORD
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sign,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Michael Somos
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