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 A001332 Bernoulli(2*n) * (2*n + 1)!. (Formerly M3710 N1516) 5
 1, 1, -4, 120, -12096, 3024000, -1576143360, 1525620096000, -2522591034163200, 6686974460694528000, -27033456071346536448000, 160078872315904478576640000, -1342964491649083924630732800000, 15522270327163593186886877184000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 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). LINKS T. D. Noe, Table of n, a(n) for n = 0..50 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 MATHEMATICA Table[BernoulliB[2*n]*(2*n + 1)!, {n, 0, 20}] (* T. D. Noe, Jun 28 2012 *) PROG (PARI) {a(n) = if( n<0, 0, (2*n + 1)! * bernfrac( 2*n))} /* Michael Somos, Oct 08 2003 */ CROSSREFS Cf. A129814. Sequence in context: A068204 A203033 A307935 * A071304 A213957 A006607 Adjacent sequences:  A001329 A001330 A001331 * A001333 A001334 A001335 KEYWORD sign,nice AUTHOR STATUS approved

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Last modified May 21 01:26 EDT 2019. Contains 323429 sequences. (Running on oeis4.)