OFFSET
1,2
LINKS
Michel Marcus, Table of n, a(n) for n = 1..10000
Jeffrey C. Lagarias and Wijit Yangjit, The factorial function and generalizations, extended, arXiv:2310.12949 [math.NT], 2023. See Section 7.2 pp. 20-21 and Table 1 p. 29.
FORMULA
a(n) = Product_{b=2..n} b^d(n,b) where d(n,b)=gamma(n,b)-gamma(n-1,b) and gamma(n,b) = Sum_{i>=1} floor(n/b^i).
PROG
(PARI) f(n, b) = sum(i=1, logint(n, b), n\b^i);
d(n, b) = f(n, b)-f(n-1, b);
a(n) = prod(b=2, n, b^d(n, b));
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Marcus, Oct 21 2023
STATUS
approved