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A002688
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Denominators of coefficients for repeated integration.
(Formerly M4158 N1728)
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2
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6, 24, 45, 480, 10080, 24192, 907200, 1036800, 239500800, 106444800, 9906624000, 475517952000, 15692092416000, 4828336128000, 8002967132160000, 4268249137152000, 51607012294656000, 1202139815804928000
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OFFSET
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1,1
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REFERENCES
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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).
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LINKS
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Michael De Vlieger, Table of n, a(n) for n = 1..442
Caroline Moosmüller, Tomas Sauer, Polynomial overreproduction by Hermite subdivision operators, and p-Cauchy numbers, arXiv:1904.10835 [math.NA], 2019.
H. E. Salzer, Table of coefficients for repeated integration with differences, Phil. Mag., 38 (1947), 331-336.
H. E. Salzer, Table of coefficients for repeated integration with differences, Phil. Mag., 38 (1947), 331-336. [Annotated scanned copy]
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FORMULA
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a(n) = denominator(1/n!*(Sum_{k=1..n}((stirling1(n,k))/((k+1)*(k+2))))). - Vladimir Kruchinin, Apr 06 2016
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MAPLE
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seq(denom(int(int(mul(p-i, i=0..(n-1)), p=0..p), p=0..1)/n!), n=1..30); # Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 01 2010
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MATHEMATICA
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Table[Denominator@ (Sum[StirlingS1[n, k]/((k + 1) (k + 2)), {k, n}]/n!), {n, 20}] (* Michael De Vlieger, Apr 06 2016 *)
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PROG
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(Maxima)
a(n):=denom(1/n!*(sum((stirling1(n, k))/((k+1)*(k+2)), k, 1, n))); /* Vladimir Kruchinin, Apr 06 2016 */
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CROSSREFS
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Cf. A002687.
Sequence in context: A062768 A161333 A253770 * A083212 A120572 A000056
Adjacent sequences: A002685 A002686 A002687 * A002689 A002690 A002691
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 01 2010
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STATUS
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approved
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