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 A002684 Denominators of coefficients for repeated integration. (Formerly M4307 N1802) 1
 6, 360, 10080, 259200, 239500800, 145297152000, 15692092416000, 16005934264320000, 8515157028618240000, 3372002183332823040000, 4653363012999295795200000, 8469120683658718347264000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES 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 H. E. Salzer, Coefficients for repeated integration with central differences, Journal of Mathematics and Physics, 28 (1949), 54-61. FORMULA a(n) is the denominator of -(n/2)M(n)-(2n+2)M(n+1), where M(n)=(2/(2n+1)!)*int(t*product(t^2-k^2, k=1..n), t=0..1). - Emeric Deutsch, Jan 25 2005 MAPLE M:=n->(2/(2*n+1)!)*int(t*product(t^2-k^2, k=1..n), t=0..1):B:=n->-(n/2)*M(n)-(2*n+2)*M(n+1): seq(denom(B(n)), n=0..13); # Emeric Deutsch, Jan 25 2005 CROSSREFS Cf. A002195, A002196, A002683. Sequence in context: A197611 A233463 A290782 * A036281 A202367 A262179 Adjacent sequences:  A002681 A002682 A002683 * A002685 A002686 A002687 KEYWORD nonn,frac AUTHOR EXTENSIONS More terms from Emeric Deutsch, Jan 25 2005 STATUS approved

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Last modified June 16 14:36 EDT 2021. Contains 345057 sequences. (Running on oeis4.)