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Search: id:A069945
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| A069945 |
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Let M_k be the k X k matrix M_k(i,j)=1/binomial(i+n,j); then a(n)=1/det(M_(n+1)). |
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| 1, -6, -360, 252000, 2222640000, -258768639360000, -410299414270986240000, 9061429740221589431500800000, 2835046804394206618956825845760000000, -12733381268715468286016211650968992153600000000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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If k>n+1 det(M_k)=0
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FORMULA
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|a(n)| = det(M^(-1)), where M is an n X n matrix with M[i, j]=i/(i+j-1) (or j/(i+j-1)). |a(n)| = 1/det(HilbertMatrix(n))/n! = A0052499(n)/n!. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 26 2003
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PROGRAM
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(PARI) for(n=0, 10, print1(1/matdet(matrix(n+1, n+1, i, j, 1/binomial(i+n, j))), ", "))
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CROSSREFS
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Sequence in context: A002684 A036281 A064350 this_sequence A086205 A042759 A099595
Adjacent sequences: A069942 A069943 A069944 this_sequence A069946 A069947 A069948
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KEYWORD
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easy,sign
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 27 2002
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