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A033106
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Number of 6's when k is written in base b for all b and k satisfying 2<=b<=n+1, 1<=k<=n.
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10
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0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 16, 17, 19, 21, 23, 24, 27, 28, 30, 32, 35, 36, 39, 40, 43, 45, 47, 49, 54, 56, 59, 62, 67, 69, 75, 77, 81, 85, 88, 90, 97, 101, 105, 108, 112, 114, 120, 124, 131, 134, 137
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OFFSET
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1,13
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LINKS
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Table of n, a(n) for n=1..64.
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MATHEMATICA
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f[n_] := Count[ Flatten@ Table[ IntegerDigits[k, b], {k, n}, {b, 2, n + 1}], 6] - (n - 6); f[1] = f[2] = f[3] = f[4] = f[5] = 0; Array[f, 64] (* Robert G. Wilson v, Nov 14 2012 *)
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CROSSREFS
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Cf. A033094, A033096, A033098, A033100, A033102, A033104, A033105, A033108, A033110, A033112.
Sequence in context: A039218 A076487 A181709 * A119485 A058363 A049810
Adjacent sequences: A033103 A033104 A033105 * A033107 A033108 A033109
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling
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STATUS
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approved
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