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A124069 Fixed points for operation of repeatedly replacing a number with the sum of the eighth power of its digits. 8

%I #21 Mar 31 2017 20:58:51

%S 0,1,24678050,24678051,88593477

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

%C This is row n=8 of A252648. For a d-digit number n >= 10^(d-1), the sum of 8th powers of its digits is <= 9^8*d, therefore n <= 413979400. - _M. F. Hasler_, Apr 12 2015

%F a(n) = A210840(a(n)). - _M. F. Hasler_, Apr 12 2015

%e 24678050 = 2^8 + 4^8 + 6^8 + 7^8 + 8^8 + 0^8 + 5^8 + 0^8.

%o (PARI) isok(n) = my(d = digits(n)); sum(k=1, #d, d[k]^8) == n; \\ _Michel Marcus_, Feb 21 2015

%o (PARI) for(n=0,413979400,A210840(n)==n&&print1(n",")) \\ _M. F. Hasler_, Apr 12 2015

%Y Cf. A046197, A052455, A052464, A124068, A226970, A003321, A210840, A252648.

%K base,fini,full,nonn

%O 1,3

%A _Sébastien Dumortier_, Nov 05 2006

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Last modified August 19 16:24 EDT 2024. Contains 375310 sequences. (Running on oeis4.)