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Search: id:A002682
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| A002682 |
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Denominators of coefficients for repeated integration.
(Formerly M3152 N1277)
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+0
3
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| 3, 45, 252, 28350, 1496880, 3405402000, 17513496000, 7815397590000, 5543722023840000, 235212205868640000, 206559082608278400000, 516914104227216696000000, 572581776990147724800000
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
H. E. Salzer, Coefficients for repeated integration with central differences, Journal of Mathematics and Physics, 28 (1949), 54-61.
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FORMULA
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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
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MAPLE
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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)
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CROSSREFS
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Cf. A002195, A002196, A002681.
Sequence in context: A062270 A069955 A062346 this_sequence A073595 A117972 A061532
Adjacent sequences: A002679 A002680 A002681 this_sequence A002683 A002684 A002685
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 25 2005
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