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A032746
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Super-6 Numbers (6 * n^6 contains substring '666666' in its decimal expansion).
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2
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27257, 272570, 302693, 323576, 364509, 502785, 513675, 537771, 676657, 678146, 731378, 831122, 836553, 913797, 920456, 921269, 1045361, 1144983, 1169054, 1283069, 1288697, 1292673, 1343642, 1346117, 1472078, 1523993, 1640026
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OFFSET
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1,1
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COMMENTS
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The terms a({5, 9, 11, 12}) = {364509, 676657, 731378, 831122} are such that 6*a(n)^6 == 66666646, 66666694, or 66666624 (mod 10^8). Therefore, any number congruent to one of these (mod 5*10^7) is also in the sequence. Of course, for any term a(n), all numbers a(n)*10^k, k >= 0, are also in the sequence. - M. F. Hasler, Jul 16 2024
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REFERENCES
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C. A. Pickover, "Keys to Infinity", New York: Wiley, p. 7, 1995.
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LINKS
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MATHEMATICA
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With[{c=6}, Select[Range[165*10^4], SequenceCount[IntegerDigits[c #^c], PadRight[ {}, c, c]]>0&]] (* Harvey P. Dale, Jan 18 2023 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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