login
Squaded sum of digits of the number equals the product of digits of the (same) number
0

%I #1 Jun 01 2010 03:00:00

%S 0,1,88888888,444777788,444777878,444777887,444778778,444778787,

%T 444778877,444787778,444787787,444787877,444788777,444877778,

%U 444877787,444877877,444878777,444887777,447477788,447477878,447477887,447478778

%N Squaded sum of digits of the number equals the product of digits of the (same) number

%C (sum of digits)^x = (product of digits) Do not work for any number if x > 4. [From Boris Hostnik (megpplus(AT)siol.net), Sep 04 2009]

%e 88888888 is in the sequence because (1) squaded sum of its digits is (8+8+8+8+8+8+8+8)^4=16777216, (2) the product of its digits is 8*8*8*8*8*8*8*8=16777216 ; 16777216=16777216

%K base,nonn

%O 0,3

%A Boris Hostnik (megpplus(AT)siol.net), Aug 28 2009