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Number of 5's when n is written in base b for 2<=b<=n+1.
10

%I #8 Nov 14 2012 18:08:07

%S 0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,1,2,1,2,1,2,1,3,1,2,2,2,1,4,2,3,3,4,2,

%T 6,2,4,3,3,4,7,2,3,3,6,3,7,2,4,5,4,3,8,3,5,4,5,3,7,4,7,4,4,3,10,4,5,7,

%U 7,6,9,3,5,4,8,4,11,3,4,6,6,6,8,4,10,7,6,5,12

%N Number of 5's when n is written in base b for 2<=b<=n+1.

%t f[n_] := Count[Flatten@ Table[ IntegerDigits[n, b], {b, 2, n + 1}], 5]; Array[f, 90] (* _Robert G. Wilson v_, Nov 14 2012 *)

%Y Cf. A033093, A033095, A033097, A033099, A033101, A033104, A033105, A033107, A033109, A033111.

%K nonn,base

%O 1,17

%A _Clark Kimberling_