The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A242282 Sum_{k=0..n} (k!)^4 * StirlingS2(n,k)^2. 3
 1, 1, 17, 1441, 379217, 241351201, 316806826577, 767860003562401, 3168021900014798417, 20904944903800508800801, 210024043938800961464262737, 3086813642229865705833791897761, 64215498113561436496993921529947217 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Generally, for p>=1 is Sum_{k=0..n} (k!)^(2*p) * StirlingS2(n,k)^p asymptotic to c * (n!)^(2*p), where c = 1 + Sum_{n>=1} 1/(Product_{k=1..n} (2*k)^p). LINKS FORMULA a(n) ~ c * (n!)^4, where c = BesselI(0,1) = 1.266065877752... (see A197036). MATHEMATICA Table[Sum[(k!)^4 * StirlingS2[n, k]^2, {k, 0, n}], {n, 0, 20}] CROSSREFS Cf. A064618 (p=1), A242283 (p=3). Cf. A197036. Sequence in context: A256020 A072160 A078814 * A129911 A336196 A336260 Adjacent sequences:  A242279 A242280 A242281 * A242283 A242284 A242285 KEYWORD nonn,easy AUTHOR Vaclav Kotesovec, May 10 2014 STATUS approved

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

Last modified July 28 15:08 EDT 2021. Contains 346335 sequences. (Running on oeis4.)