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A002204
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An ill-conditioned determinant.
(Formerly M4313 N1806)
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1
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1, 6, 720, 1512000, 53343360000, 31052236723200000, 295415578275110092800000, 45669605890716810734764032000000, 114309087153174410876339218101043200000000, 4620689394791469131629562883903627872698368000000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| M. Lotkin, A set of test matrices, Math. Comp., 9 (1955), 153-161.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Ruperto Corso, Table of n, a(n) for n = 1..41
M. Lotkin, A set of test matrices, Math. Comp., 9 (1955), 153-161.
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FORMULA
| Recurrence: a(n)=binomial(2n-2,n-2)*binomial(2n-2,n-1)*(2n-1)*a(n-1) with a(1)=1.
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PROG
| (PARI) for(n=1, 100, print1((-1)^(n+1)/matdet(matrix(n, n, i, j, if(i>1, 1/(i+j-1), 1)))", ")) /* Ruperto Corso, Dec 14 2011 */
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CROSSREFS
| Sequence in context: A188960 A100732 A003923 * A052295 A168467 A169668
Adjacent sequences: A002201 A002202 A002203 * A002205 A002206 A002207
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from H. P. Robinson.
More terms from Ruperto Corso (rupertocorsoto(AT)gmail.com), Dec 14 2011
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