login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Factorials (A000142) whose decimal expansion sets a record for having more of any single nonzero digit than its predecessors.
0

%I #7 Mar 30 2012 17:31:31

%S 0,9,13,16,22,31,33,43,47,55,56,66,71,91,96,102,119,139,164,167,175,

%T 199,200,242,247,258,259,271,293,302,310,340,352,356,366,368,385,392,

%U 413,419,452,491,507,522,527,543,547,598,658,667,688,722,746,772,801,810,811,816,832,837,895,906,909,935,971,975

%N Factorials (A000142) whose decimal expansion sets a record for having more of any single nonzero digit than its predecessors.

%t f[n_] := Max@ Most@DigitCount@ n; lst = {0}; k = 1; p = 1; mx = 1; While[ k < 1000, p = p*k; a = f@ p; If[a > mx, mx = a; AppendTo[lst, k]]; k++]; lst

%Y Cf. A181686.

%K nonn,base

%O 1,2

%A _Robert G. Wilson v_, Feb 21 2011