The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A051622 a(n) = (4*n+10)(!^4)/10(!^4), related to A000407 ((4*n+2)(!^4) quartic, or 4-factorials). 8
 1, 14, 252, 5544, 144144, 4324320, 147026880, 5587021440, 234654900480, 10794125422080, 539706271104000, 29144138639616000, 1690360041097728000, 104802322548059136000, 6916953288171902976000, 484186730172033208320000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row m=10 of the array A(5; m,n) := ((4*n+m)(!^4))/m(!^4), m >= 0, n >= 0. From Zerinvary Lajos, Feb 15 2008: (Start) a(n) = A001813(n+3)/120. a(n) = A051618(n+1)/10. (End) LINKS G. C. Greubel, Table of n, a(n) for n = 0..363 FORMULA a(n) = ((4*n+10)(!^4))/10(!^4) = A000407(n+2)/(6*10). E.g.f.: 1/(1-4*x)^(7/2). G.f.: G(0)/2, where G(k)= 1 + 1/(1 - 2*x/(2*x + 1/(2*k+7)/G(k+1))); (continued fraction). - Sergei N. Gladkovskii, Jun 02 2013 MAPLE seq(mul((n+3+k), k=1..n+3)/120, n=0..18); # Zerinvary Lajos, Feb 15 2008 MATHEMATICA s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 13, 5!, 4}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *) With[{nn = 30}, CoefficientList[Series[1/(1 - 4*x)^(7/2), {x, 0, nn}], x]*Range[0, nn]!] (* G. C. Greubel, Aug 15 2018 *) PROG (PARI) x='x+O('x^30); Vec(serlaplace(1/(1-4*x)^(14/4))) \\ G. C. Greubel, Aug 15 2018 (Magma) m:=30; R:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-4*x)^(14/4))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Aug 15 2018 CROSSREFS Cf. A047053, A007696(n+1), A000407, A034176(n+1), A034177(n+1), A051617-A051621 (rows m=0..9). Sequence in context: A123774 A074815 A280122 * A113377 A318596 A343688 Adjacent sequences: A051619 A051620 A051621 * A051623 A051624 A051625 KEYWORD easy,nonn AUTHOR Wolfdieter Lang STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 15 16:36 EDT 2024. Contains 373410 sequences. (Running on oeis4.)