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 A090105 Decimal value of largest digit of n! when it was written in base n. 1
 1, 1, 2, 2, 4, 3, 6, 6, 7, 8, 10, 5, 12, 6, 12, 8, 16, 14, 18, 19, 20, 20, 22, 23, 23, 24, 25, 24, 28, 29, 30, 29, 31, 30, 32, 33, 36, 37, 33, 39, 40, 40, 42, 40, 43, 45, 46, 45, 46, 47, 49, 51, 52, 51, 54, 55, 56, 56, 58, 59, 60, 60, 61, 63, 62, 64, 66, 67, 68, 65, 70, 67, 72, 71 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE For n=12: 12! = 114500000_12, so a(12) = 5. MAPLE f:= n -> max(convert(n!, base, n)): f(1):= 1:map(f, [\$1..100]); # Robert Israel, Dec 09 2020 MATHEMATICA Table[Max[IntegerDigits[w!, w]], {w, 2, 100}] PROG (PARI) a(n) = if(n==1, 1, vecmax(digits(n!, n))) \\ Felix FrÃ¶hlich, Dec 09 2020 CROSSREFS Cf. A006993, A090104, A216377. Sequence in context: A301768 A088145 A011754 * A082146 A037145 A341466 Adjacent sequences:  A090102 A090103 A090104 * A090106 A090107 A090108 KEYWORD base,nonn AUTHOR Labos Elemer, Dec 17 2003 STATUS approved

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Last modified June 23 15:39 EDT 2021. Contains 345402 sequences. (Running on oeis4.)