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 A272238 a(n) = Product_{k=0..n} (n^2+k)!. 4
 1, 2, 2073600, 25177856146146034974720000000, 14100949826093501607549529280892932893801777581548587107609477120000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The next term has 173 digits. LINKS FORMULA a(n) = ((n^2+n)!)^(n+1) / A272237(n). a(n) ~ exp(11/24 + n/6 - n^2 - n^3) * n^((1+n)*(1 + n + 2*n^2)) * (2*Pi)^((n+1)/2). MATHEMATICA Table[Product[(n^2+k)!, {k, 0, n}], {n, 0, 6}] Table[BarnesG[n^2 + n + 2]/BarnesG[n^2 + 1], {n, 0, 6}] CROSSREFS Cf. A135860, A272164, A272180, A272237, A272241. Sequence in context: A303433 A253264 A124368 * A303255 A322096 A037051 Adjacent sequences: A272235 A272236 A272237 * A272239 A272240 A272241 KEYWORD nonn,easy AUTHOR Vaclav Kotesovec, Apr 23 2016 STATUS approved

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Last modified March 29 17:51 EDT 2023. Contains 361599 sequences. (Running on oeis4.)