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Search: id:A002178
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| A002178 |
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Numerators of Cotesian numbers (not in lowest terms): A002176*C(n,1).
(Formerly M3216 N1302)
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+0
4
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| 1, 4, 3, 32, 75, 216, 3577, 5888, 15741, 106300, 13486539, 9903168, 56280729661, 710986864, 265553865, 127626606592, 450185515446285, 1848730221900, 603652082270808125, 187926090380000, 9545933933230947
(list; graph; listen)
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OFFSET
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1,2
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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, 1)
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CROSSREFS
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Cf. A100640/A100641, A100620/A100621, A002176-A002179.
Sequence in context: A127138 A064081 A099438 this_sequence A013558 A161000 A120078
Adjacent sequences: A002175 A002176 A002177 this_sequence A002179 A002180 A002181
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KEYWORD
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nonn,easy,nice
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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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