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A063583
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Smallest k such that 4^k has exactly n 8's in its decimal representation.
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1
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1, 7, 13, 31, 27, 41, 65, 37, 89, 110, 90, 117, 135, 158, 155, 201, 171, 211, 208, 175, 161, 235, 227, 213, 290, 321, 316, 354, 363, 344, 459, 277, 532, 350, 517, 409, 448, 419, 536, 465, 541, 490, 525, 549, 565, 605, 604, 674, 577, 719, 615
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OFFSET
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0,2
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LINKS
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MATHEMATICA
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a = {}; Do[k = 1; While[ Count[ IntegerDigits[4^k], 8] != n, k++ ]; a = Append[a, k], {n, 0, 50} ]; a
With[{tbl=Table[{n, DigitCount[4^n, 10, 8]}, {n, 1000}]}, Table[SelectFirst[tbl, #[[2]]==k&], {k, 0, 50}]][[;; , 1]] (* Harvey P. Dale, Oct 24 2023 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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