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 A131451 Product of the nonzero digital products of all the numbers 1 to n (a 'total digital-product factorial' in base 10). 22
 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 362880, 362880, 725760, 2177280, 8709120, 43545600, 261273600, 1828915200, 14631321600, 131681894400, 263363788800, 526727577600, 2106910310400, 12641461862400, 101131694899200 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Hieronymus Fischer, Table of n, a(n) for n = 1..102 FORMULA The following formulas are given for general bases p>1: a(n)=product{1<=k<=n, dp_p(k)} where dp_p(k) = product of the nonzero digits of k in base p. a(n)=(n mod p)!*product{00}(floor(n/p^j)mod p)^(1+(n mod p^j))*((floor(n/p^j)mod p)-1)!^(p^j). Recurrence: a(n+k*p^m)=a(n)*k^n*a(k*p^m) for 0<=k

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Last modified June 18 15:13 EDT 2021. Contains 345120 sequences. (Running on oeis4.)