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A052464
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Fixed points for operation of repeatedly replacing a number with the sum of the fifth power of its digits.
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9
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OFFSET
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1,3
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COMMENTS
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Equivalently, numbers equal to the sum of 5th powers of their decimal digits. Since this sum is <= 9^5*d for a d-digit number n >= 10^(d-1), there cannot be such a number with more than 6 digits. - M. F. Hasler, Apr 12 2015
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LINKS
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Table of n, a(n) for n=1..8.
G. K. Patil, Ramanujan's Life And His Contributions In The Field Of Mathematics, International Journal of Scientific Research and Engineering Studies (IJSRES), 1(6) (2014), ISSN: 2349-8862.
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EXAMPLE
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a(2) = 4150 since 4^5 + 1^5 + 5^5 + 0^5 = 1024 + 1 + 3125 + 0 = 4150.
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PROG
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(PARI) for(n=0, 10^6, A055014(n)==n&&print1(n", ")) \\ M. F. Hasler, Apr 12 2015
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CROSSREFS
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Cf. A023052, A046074, A046197, A052455, A124068, A124069, A226970, A003321.
Sequence in context: A256080 A287514 A072896 * A161752 A145205 A243025
Adjacent sequences: A052461 A052462 A052463 * A052465 A052466 A052467
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KEYWORD
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base,fini,full,nonn
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AUTHOR
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Henry Bottomley, Mar 15 2000
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STATUS
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approved
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