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A236314
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Number of non-overlapping occurrences of n in the decimal representation of n^n.
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2
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1, 0, 0, 0, 1, 3, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 3, 1, 1, 0, 1, 0, 1, 1, 1, 0, 3, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 3, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 5, 2, 1, 2, 0, 3, 3, 2, 1, 0, 1, 0
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OFFSET
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1,6
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LINKS
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EXAMPLE
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6^6 is 46656 with 3 6's, hence a(6) = 3.
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MATHEMATICA
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a[n_] := Length@ StringPosition[ToString[n^n], ToString[n], Overlaps -> False]; (* Giovanni Resta, Jan 22 2014 *)
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PROG
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(Python)
from itertools import count
a=(str(n**n).count(str(n)) for n in count(1))
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CROSSREFS
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A049329 lists n where a(n) is nonzero.
The same sequence but allowing for overlapping occurrences is at A236322.
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KEYWORD
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base,nonn,easy
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AUTHOR
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STATUS
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approved
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