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A002687 Numerators of coefficients for repeated integration.
(Formerly M4457 N1887)
1
1, -1, 1, -7, 107, -199, 6031, -5741, 1129981, -435569, 35661419, -1523489833, 45183033541, -12597680311, 19055094997949, -9331210633373, 104148936040729, -2250170748719203, 734854328394419537, -826511503463860961 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

REFERENCES

H. E. Salzer, Table of coefficients for repeated integration with differences, Phil. Mag., 38 (1947), 331-336.

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).

MAPLE

seq(numer(int(int(mul(p-i, i=0..(n-1)), p=0..p), p=0..1)/n!), n=1..30);

CROSSREFS

Cf. A002688.

Sequence in context: A075021 A138963 A141932 * A166547 A156204 A197447

Adjacent sequences:  A002684 A002685 A002686 * A002688 A002689 A002690

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Corrected and edited by Herman Jamke (hermanjamke(AT)fastmail.fm), Aug 01 2010

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.