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 A002681 Numerators of coefficients for repeated integration. (Formerly M5136 N2227) 1
 1, -1, 1, -23, 263, -133787, 157009, -16215071, 2689453969, -26893118531, 5600751928169, -3340626516019229, 885646796787371, -859202038021848149, 2766671664340938282413, -319473088311274492668499, 436677987276721765221113, -191960665849028069896950959123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 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 numerator 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(numer(A(n)), n=0..18); # Emeric Deutsch, Jan 25 2005 CROSSREFS Cf. A002195, A002196, A002682. Sequence in context: A042018 A125411 A140620 * A240876 A142220 A257930 Adjacent sequences:  A002678 A002679 A002680 * A002682 A002683 A002684 KEYWORD sign,frac AUTHOR EXTENSIONS More terms from Emeric Deutsch, Jan 25 2005 STATUS approved

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Last modified May 12 11:55 EDT 2021. Contains 343821 sequences. (Running on oeis4.)