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A002177 Numerators of Cotesian numbers (not in lowest terms): A002176*C(n,0).
(Formerly M4364 N1829)
+0
10
1, 1, 1, 7, 19, 41, 751, 989, 2857, 16067, 2171465, 1364651, 8181904909, 90241897, 35310023, 15043611773, 55294720874657, 203732352169, 69028763155644023, 19470140241329, 1022779523247467, 396760150748100749 (list; graph; listen)
OFFSET

1,4

REFERENCES

W. W. Johnson, On Cotesian numbers: their history, computation, and values to n=20, Quart. J. Pure Appl. Math., 46 (1914), 52-65.

PROGRAM

(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, 0)

CROSSREFS

Cf. A100640/A100641, A100620/A100621, A002176-A002179.

Sequence in context: A097241 A067889 A100620 this_sequence A141193 A104163 A054690

Adjacent sequences: A002174 A002175 A002176 this_sequence A002178 A002179 A002180

KEYWORD

nonn,easy,nice

AUTHOR

njas

EXTENSIONS

More terms from Michael Somos

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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