|
%I #17 Mar 30 2017 22:35:17
%S 0,1,146511208,472335975,534494836,912985153
%N Fixed points for the operation of repeatedly replacing a number with the sum of the ninth powers of its digits.
%C The only six integers equal to the sum of the ninth powers of their digits.
%C This is row n=9 of A252648. For a d-digit number n >= 10^(d-1), the sum of 9th powers of its digits is <= 9^9*d, therefore n <= 4112105981. - _M. F. Hasler_, Apr 12 2015
%e a(3) = A003321(9);
%e a(4) = 472335975 = 4^9 + 7^9 + 2^9 + 3^9 + 3^9 + 5^9 + 9^9 + 7^9 + 5^9.
%o (PARI) is_A226970(n)=n==sum(i=1,#n=digits(n),n[i]^9)
%o for(n=0,4112105981,is_A226970(n)&&print1(n",")) \\ _M. F. Hasler_, Apr 12 2015
%Y Cf. A046197, A052455, A052464, A124068, A124069, A003321.
%K nonn,base,fini,full
%O 1,3
%A _Michel Lagneau_, Jun 24 2013
|
