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 A001805 a(n) = n! * binomial(n,3). (Formerly M4291 N1794) 4
 6, 96, 1200, 14400, 176400, 2257920, 30481920, 435456000, 6586272000, 105380352000, 1780927948800, 31732897996800, 594991837440000, 11716762337280000, 241867451105280000, 5224336943874048000, 117874102296158208000, 2773508289321369600000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS Coefficients of Laguerre polynomials. 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 = 3..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]. FORMULA E.g.f.: x^3/(1-x)^4. - Geoffrey Critzer, Aug 19 2012 MAPLE G(x):=x^3/(1-x)^4: 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=3..18); # Zerinvary Lajos, Apr 01 2009 MATHEMATICA Table[n! Binomial[n, 3], {n, 3, 30}] (* Harvey P. Dale, Feb 23 2011 *) PROG (PARI) for(n=3, 30, print1(n!*binomial(n, 3), ", ")) \\ G. C. Greubel, May 17 2018 (MAGMA) [Factorial(n)*Binomial(n, 3): n in [3..30]]; // G. C. Greubel, May 17 2018 CROSSREFS Essentially a column of triangle A021012. Sequence in context: A006044 A202078 A227262 * A139743 A156460 A038094 Adjacent sequences:  A001802 A001803 A001804 * A001806 A001807 A001808 KEYWORD nonn AUTHOR EXTENSIONS More terms from Ralf Stephan, Jan 09 2004 STATUS approved

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Last modified March 22 04:32 EDT 2019. Contains 321406 sequences. (Running on oeis4.)