login
Number of 4's when k is written in base b for all b and k satisfying 2<=b<=n+1, 1<=k<=n.
10

%I #7 Nov 15 2012 04:26:57

%S 0,0,0,1,1,1,1,1,2,3,4,5,6,8,9,11,12,14,16,19,21,25,27,32,35,38,40,46,

%T 50,53,56,61,64,71,73,78,82,86,91,98,101,105,109,117,121,129,133,140,

%U 148,152,155,164,169,176,180,186,190,198,204

%N Number of 4's when k is written in base b for all b and k satisfying 2<=b<=n+1, 1<=k<=n.

%t f[n_] := Count[ Flatten@ Table[ IntegerDigits[k, b], {k, n}, {b, 2, n + 1}], 4] - (n - 4); f[1] = f[2] = f[3] = 0; Array[f, 59] (* _Robert G. Wilson v_, Nov 14 2012 *)

%Y Cf. A033094, A033096, A033098, A033100, A033101, A033104, A033106, A033108, A033110, A033112.

%K nonn,base

%O 1,9

%A _Clark Kimberling_