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A032744
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Super-4 Numbers (4 * n^4 contains substring '4444' in its decimal expansion).
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3
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1168, 4972, 7423, 7752, 8431, 10267, 11317, 11487, 11549, 11680, 16588, 16664, 16837, 18257, 18597, 19784, 19933, 22217, 22504, 22819, 22829, 24078, 24331, 24514, 25296, 25698, 26685, 26738, 27812, 27973, 28988, 32466, 32467, 32735, 34078, 34636, 35248, 36219, 36602
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OFFSET
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1,1
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COMMENTS
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a(17) = 19933 and a(20) = 22819 are such that a(n)^4 == 111121 (mod 10^6), therefore any number ending in (0|5)19933 or in (0|5)22819, where (a|b) means a or b, is in the sequence. Of course, for each 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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Select[Range[33000], MemberQ[Partition[IntegerDigits[4*#^4], 4, 1], {4, 4, 4, 4}]&] (* Harvey P. Dale, Mar 22 2012 *)
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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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