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A203483 a(n) = v(n+1)/v(n), where v = A203482. 4
3, 56, 19500, 267841728, 236189890379520, 19303349192505048268800, 199126474924007956512865886208000, 339543987407937097660189431863908761600000000, 121553118121801544803671246298148699436481551316864204800000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = Product_{k=1..n} (k! + (n+1)!). - G. C. Greubel, Aug 29 2023
From Vaclav Kotesovec, Nov 20 2023: (Start)
a(n) ~ (n+1)!^n.
a(n) ~ (2*Pi)^(n/2) * n^(n^2 + 3*n/2) / exp(n^2 - 13/12). (End)
MATHEMATICA
(* First program *)
f[j_]:= j!; z = 10;
v[n_]:= Product[Product[f[k] + f[j], {j, k-1}], {k, 2, n}]
d[n_]:= Product[(i-1)!, {i, n}] (* A000178 *)
Table[v[n], {n, z}] (* A203482 *)
Table[v[n+1]/v[n], {n, z-1}] (* this sequence *)
Table[v[n]/d[n], {n, 10}] (* A203510 *)
(* Second program *)
Table[Product[k!+(n+1)!, {k, n}], {n, 15}] (* G. C. Greubel, Aug 29 2023 *)
PROG
(Magma) [(&*[Factorial(k) + Factorial(n+1): k in [1..n]]): n in [1..16]]; // G. C. Greubel, Aug 29 2023
(SageMath) [product(factorial(k) + factorial(n+1) for k in range(1, n+1)) for n in range(1, 16)] # G. C. Greubel, Aug 29 2023
CROSSREFS
Sequence in context: A132489 A350336 A344690 * A051227 A122548 A078728
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 03 2012
STATUS
approved

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Last modified June 24 19:28 EDT 2024. Contains 373690 sequences. (Running on oeis4.)