A001807 a(n) = n! * binomial(n,5).
120, 4320, 105840, 2257920, 45722880, 914457600, 18441561600, 379369267200, 8014175769600, 174530938982400, 3926946127104000, 91390746230784000, 2200993805058048000, 54855537910677504000, 1414489227553898496000, 37719712734770626560000
Offset: 5
Keywords
References
- M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 799.
- 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
- T. D. Noe, Table of n, a(n) for n = 5..100
- M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
- Index entries for sequences related to Laguerre polynomials
Crossrefs
Essentially a column of triangle A021012.
Programs
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Magma
[Factorial(n)*Binomial(n,5): n in [5..35]]; // G. C. Greubel, May 17 2018
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Maple
G(x):=x^5/(1-x)^6: f[0]:=G(x): for n from 1 to 18 do f[n]:=diff(f[n-1],x) od: x:=0: seq(f[n],n=5..18); # Zerinvary Lajos, Apr 01 2009
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Mathematica
Table[n! Binomial[n, 5], {n, 5, 20}] (* T. D. Noe, Aug 10 2012 *) -
PARI
for(n=5, 35, print1(n!*binomial(n,5), ", ")) \\ G. C. Greubel, May 17 2018
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Sage
[binomial(n,5)*factorial (n) for n in range(5, 19)] # Zerinvary Lajos, Jul 07 2009
Formula
E.g.f.: x^5/(1-x)^6. - Geoffrey Critzer, Aug 19 2012
Extensions
More terms from Ralf Stephan, Jan 09 2004
Comments