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Number of 1'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 04:25:44

%S 1,2,5,9,15,21,30,36,46,56,68,79,95,108,123,137,153,166,184,199,220,

%T 240,261,277,301,321,344,367,393,418,450,472,498,523,548,576,610,638,

%U 670,700,735,765,802,833,868,904,939,970,1011,1045

%N Number of 1'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}], 1] - (n - 1); Array[f, 50] (* _Robert G. Wilson v_, Nov 14 2012 *)

%Y Cf. A033094, A033095, A033098, A033100, A033102, A033104, A033106, A033108, A033110, A033112.

%K nonn,base

%O 1,2

%A _Clark Kimberling_