A078669 - OEIS

%I #9 Aug 30 2024 14:54:26

%S 1,0,0,0,0,1,0,1,4,0,0,1,2,2,2,1,2,4,3,1,5,3,2,11,5,1,2,7,8,15,8,5,11,

%T 11,10,8,7,10,16,17,15,19,12,17,18,23,27,19,24,30,18,25,40,30,23,27,

%U 29,31,33,48,48,50,30,49,51,51,58,55,67,52,59,50,52,63,78,67,92,107,94,74

%N Number of times n appears among the decimal digits of (n!)^n.

%e a(6)=1 because 6 appears one time in 6!^6 = 139314069504000000.

%o (PARI) {mcf(d, n)=my(c=0, m=10^#digits(d)); while(n>0, if(n%m==d, c++); n\=10; ); c }

%o a(n) = {mcf(n, (n!)^n)}

%Y Cf. A036740.

%K base,nonn

%O 1,9

%A _Jason Earls_, Dec 16 2002