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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
OFFSET
1,3
LINKS
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 Fröhlich, Dec 09 2020
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Labos Elemer, Dec 17 2003
STATUS
approved