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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

Table of n, a(n) for n=0..12.

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

N. J. A. Sloane

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.