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Search: id:A002684
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| A002684 |
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Denominators of coefficients for repeated integration.
(Formerly M4307 N1802)
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+0
2
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| 6, 360, 10080, 259200, 239500800, 145297152000, 15692092416000, 16005934264320000, 8515157028618240000, 3372002183332823040000, 4653363012999295795200000, 8469120683658718347264000000
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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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/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):B:=n->-(n/2)*M(n)-(2*n+2)*M(n+1): seq(denom(B(n)), n=0..13); (Deutsch)
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CROSSREFS
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Cf. A002195, A002196, A002683.
Adjacent sequences: A002681 A002682 A002683 this_sequence A002685 A002686 A002687
Sequence in context: A047941 A000409 A059415 this_sequence A036281 A064350 A069945
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KEYWORD
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nonn,frac
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AUTHOR
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njas
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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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