Search: id:A002179
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%I A002179 M2921 N1172
%S A002179 0,1,3,12,50,27,1323,928,1080,48525,3237113,7587864,31268252574,
%T A002179 770720657,232936065,179731134720,542023437008852,3212744374395,
%U A002179 926840515700222955,389358194177500,17858352159793110
%V A002179 0,1,3,12,50,27,1323,-928,1080,-48525,-3237113,-7587864,-31268252574,
%W A002179 -770720657,-232936065,-179731134720,-542023437008852,-3212744374395,
%X A002179 -926840515700222955,-389358194177500,-17858352159793110
%N A002179 Numerators of Cotesian numbers (not in lowest terms): A002176*C(n,2).
%D A002179 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002179 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002179 W. W. Johnson, On Cotesian numbers: their history, computation and values 
               to n=20, Quart. J. Pure Appl. Math., 46 (1914), 52-65.
%o A002179 (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
%o A002179 (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)
%Y A002179 Cf. A100640/A100641, A100620/A100621, A002176-A002178.
%Y A002179 Sequence in context: A151175 A151176 A151177 this_sequence A034541 A037765 
               A037653
%Y A002179 Adjacent sequences: A002176 A002177 A002178 this_sequence A002180 A002181 
               A002182
%K A002179 sign,easy
%O A002179 2,3
%A A002179 N. J. A. Sloane (njas(AT)research.att.com).
%E A002179 More terms from Michael Somos

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