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A165064
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Number of cycles of n-digit numbers (including fixed points) under the base-6 Kaprekar map A165051.
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11
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1, 0, 1, 1, 2, 4, 1, 5, 2, 7, 3, 9, 4, 13, 7, 17, 8, 24, 11, 30, 16, 37, 21, 46, 27, 57, 34, 68, 42, 83, 52, 96, 64, 113, 77, 132, 90, 153, 107, 175, 125, 200, 145, 226, 168, 256, 191, 288, 217, 323, 247, 358, 278, 399, 312, 441, 348, 487, 387, 536, 429, 587, 475, 641
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,5
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LINKS
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FORMULA
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G.f.: x*(1 + x + 2*x^5 - 2*x^7 - 3*x^8 - 3*x^9 - x^10 + 2*x^11 + 4*x^12 + 4*x^13 + 4*x^14 + x^15 - 3*x^16 - 3*x^17 - 2*x^18 - x^19 + x^21 + x^22) / ((1 - x)^4*(1 + x)^3*(1 + x^2)*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)) (conjectured). - Colin Barker, Jun 01 2017
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CROSSREFS
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In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A165006 (base 3), A165025 (base 4), A165045 (base 5), A165084 (base 7), A165103 (base 8), A165123 (base 9), A164731 (base 10).
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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