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A204633 Least k such that k!*n! contains every digit at least once. 1

%I #11 Mar 30 2012 18:36:00

%S 23,23,17,25,18,17,23,21,18,17,17,19,15,17,16,12,14,2,4,11,18,7,4,0,9,

%T 3,3,0,6,2,2,0,4,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,

%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

%N Least k such that k!*n! contains every digit at least once.

%C It is extremely probable that a(n) = 0 for all n >= 42.

%t Table[k=0;While[!Length[Union[IntegerDigits[k!*n!]]]==10,k++];k,{n,0,60}]

%Y Cf. A000142, A204598.

%K nonn,base

%O 0,1

%A _Michel Lagneau_, Jan 17 2012

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)