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 A072417 a(n) = smallest positive m such that m! contains exactly n 0's, or 0 if no such m exists. 1
 1, 5, 7, 0, 12, 18, 19, 20, 22, 25, 28, 34, 37, 42, 48, 41, 38, 53, 51, 50, 57, 63, 67, 66, 76, 68, 61, 80, 82, 79, 83, 0, 77, 104, 89, 73, 85, 94, 110, 109, 118, 108, 107, 0, 116, 105, 131, 114, 129, 137, 128, 115, 122, 124, 127, 0, 134, 135, 144, 159, 140 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE a(1)=5: 5!=120, which has only 1 zero. Other numbers with only 1 zero are 6 and 9. a(2)=7 since 7th factorial, i.e., 7!=5040 contains exactly two 0's. a(3)=0 since no factorial contains just three zeros. CROSSREFS Cf. A072419. Sequence in context: A088394 A332328 A021950 * A133412 A111833 A011378 Adjacent sequences:  A072414 A072415 A072416 * A072418 A072419 A072420 KEYWORD base,nonn AUTHOR Shyam Sunder Gupta, Jul 31 2002 EXTENSIONS Edited by N. J. A. Sloane, Sep 06 2008 at the suggestion of R. J. Mathar STATUS approved

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Last modified May 10 03:11 EDT 2021. Contains 343747 sequences. (Running on oeis4.)