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 A002682 Denominators of coefficients for repeated integration. (Formerly M3152 N1277) 2
 3, 45, 252, 28350, 1496880, 3405402000, 17513496000, 7815397590000, 5543722023840000, 235212205868640000, 206559082608278400000, 516914104227216696000000, 572581776990147724800000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES H. E. Salzer, Coefficients for repeated integration with central differences, Journal of Mathematics and Physics, 28 (1949), 54-61. 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 FORMULA a(n) is the denominator of ((n+1)/2)M(n) + (2n+2)M(n+1), where M(n) = (2/(2n+1)!)*Integral_{t=0..1} (t*Product_{k=1..n} (t^2 - k^2)). - 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): A:=n->((n+1)/2)*M(n)+(2*n+2)*M(n+1): seq(denom(A(n)), n=0..15); # Emeric Deutsch, Jan 25 2005 CROSSREFS Cf. A002195, A002196, A002681. Sequence in context: A069955 A289193 A062346 * A073595 A117972 A061532 Adjacent sequences:  A002679 A002680 A002681 * A002683 A002684 A002685 KEYWORD nonn,frac AUTHOR EXTENSIONS More terms from Emeric Deutsch, Jan 25 2005 STATUS approved

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Last modified October 17 10:43 EDT 2017. Contains 293469 sequences.