OFFSET
1,2
LINKS
FORMULA
8*a(n) = (8*n)!^8 = Product_{j=1..n} 8*j = 8^n*n!.
E.g.f.: (-1+(1-8*x)^(-1))/8.
G.f.: x/(1-16*x/(1-8*x/(1-24*x/(1-16*x/(1-32*x/(1-24*x/(1-40*x/(1-32*x/(1-... (continued fraction). - Philippe Deléham, Jan 07 2012
From Amiram Eldar, Jan 08 2022: (Start)
Sum_{n>=1} 1/a(n) = 8*(exp(1/8)-1).
Sum_{n>=1} (-1)^(n+1)/a(n) = 8*(1-exp(-1/8)). (End)
MATHEMATICA
Table[8^(n-1)*n!, {n, 40}] (* G. C. Greubel, Oct 20 2022 *)
PROG
(Magma) [8^(n-1)*Factorial(n): n in [1..40]]; // G. C. Greubel, Oct 20 2022
(SageMath) [8^(n-1)*factorial(n) for n in range(1, 40)] # G. C. Greubel, Oct 20 2022
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
STATUS
approved