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A001332
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Bernoulli(2*n) * (2*n + 1)!.
(Formerly M3710 N1516)
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2
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1, 1, -4, 120, -12096, 3024000, -1576143360, 1525620096000, -2522591034163200, 6686974460694528000, -27033456071346536448000, 160078872315904478576640000, -1342964491649083924630732800000, 15522270327163593186886877184000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| G. S. Kazandzidis: On a Matrix and a Class of Polynomials. Bulletin de la Societe Mathematique de Grece. Nouvelle Serie - Vol. 6 I, Fasc. 1, (1965), pp. 105 - 126.
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
| Index entries for sequences related to Bernoulli numbers.
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FORMULA
| Lacunary e.g.f: x / (exp(x) - 1) + x / 2 = Sum_{k>=0} a(k) * x^(2*k) / ((2*k)! * (2*k + 1)!). - Michael Somos Mar 29 2011
a(n) = determinant of the 2n X 2n matrix ( d(i,j) = binomial( i+1, i-j+2) if j < i+2 else 0 ). - Michael Somos, Oct 08 2003
a(n) = A129814(2*n). - Michael Somos Mar 29 2011
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PROG
| (PARI) {a(n) = if( n<0, 0, (2*n + 1)! * bernfrac( 2*n))} /* Michael Somos Oct 08 2003 */
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CROSSREFS
| Cf. A129814.
Sequence in context: A002702 A068204 A203033 * A071304 A006607 A062081
Adjacent sequences: A001329 A001330 A001331 * A001333 A001334 A001335
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KEYWORD
| sign,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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