

A052464


Fixed points for operation of repeatedly replacing a number with the sum of the fifth power of its digits.


9




OFFSET

1,3


COMMENTS

Equivalently, numbers equal to the sum of 5th powers of their decimal digits. Since this sum is <= 9^5*d for a ddigit number n >= 10^(d1), there cannot be such a number with more than 6 digits.  M. F. Hasler, Apr 12 2015


LINKS

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: 23498862.


EXAMPLE

a(2) = 4150 since 4^5 + 1^5 + 5^5 + 0^5 = 1024 + 1 + 3125 + 0 = 4150.


PROG

(PARI) for(n=0, 10^6, A055014(n)==n&&print1(n", ")) \\ M. F. Hasler, Apr 12 2015


CROSSREFS

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


KEYWORD

base,fini,full,nonn


AUTHOR

Henry Bottomley, Mar 15 2000


STATUS

approved



