Search: id:A002682
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%I A002682 M3152 N1277
%S A002682 3,45,252,28350,1496880,3405402000,17513496000,7815397590000,
%T A002682 5543722023840000,235212205868640000,206559082608278400000,
%U A002682 516914104227216696000000,572581776990147724800000
%N A002682 Denominators of coefficients for repeated integration.
%D A002682 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002682 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002682 H. E. Salzer, Coefficients for repeated integration with central differences, 
               Journal of Mathematics and Physics, 28 (1949), 54-61.
%F A002682 a(n) is the denominator of ((n+1)/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 
               (deutsch(AT)duke.poly.edu), Jan 25 2005
%p A002682 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); (Deutsch)
%Y A002682 Cf. A002195, A002196, A002681.
%Y A002682 Sequence in context: A062270 A069955 A062346 this_sequence A073595 A117972 
               A061532
%Y A002682 Adjacent sequences: A002679 A002680 A002681 this_sequence A002683 A002684 
               A002685
%K A002682 nonn,frac
%O A002682 0,1
%A A002682 N. J. A. Sloane (njas(AT)research.att.com).
%E A002682 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 25 2005

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