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A126973 a(n+1) is the smallest integer greater than a(n) such that the sum of the squares of its decimal digits is equal to a(n). 1

%I #7 May 13 2013 01:48:41

%S 1,10,13,23,1233,33999999999999999

%N a(n+1) is the smallest integer greater than a(n) such that the sum of the squares of its decimal digits is equal to a(n).

%e 10 --> 1^2+0^2 = 1+0 =1

%e 13 --> 1^2+3^2 = 1+9 = 10

%e 23 --> 2^2+3^2 = 4+9 =13

%e 1233 --> 1^2+2^2+3^3+3^2 = 1+4+9+9 = 23

%e 33999999999999999 = 3^2*2 + 9^2*15 = 1233

%Y Cf. A001273, A053612.

%K nonn,base

%O 1,2

%A _Paolo P. Lava_ and _Giorgio Balzarotti_, Mar 20 2007; corrected Mar 23 2007

%E Next term is greater than 10^419753086419753. [From _Charles R Greathouse IV_, Nov 13 2010]

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Last modified April 19 02:28 EDT 2024. Contains 371782 sequences. (Running on oeis4.)