cp's OEIS Frontend

A153749 Numbers k such that there are 12 digits in k^2 and for each factor f of 12 (1,2,3,4,6) the sum of digit groupings of size f is a square.

%I A153749 #14 May 09 2021 07:53:02
%S A153749 316713,334401,658635
%N A153749 Numbers k such that there are 12 digits in k^2 and for each factor f of 12 (1,2,3,4,6) the sum of digit groupings of size f is a square.
%C A153749 This is the complete sequence. This sequence is a subsequence of both A153745 and A061910.
%e A153749 316713^2 = 100307124369;
%e A153749 1+0+0+3+0+7+1+2+4+3+6+9 = 36 = 6^2;
%e A153749 10+03+07+12+43+69 = 144 = 12^2;
%e A153749 100+307+124+369 = 900 = 30^2;
%e A153749 1003+0712+4369 = 6084 = 78^2;
%e A153749 100307+124369 = 224676 = 474^2.
%Y A153749 Cf. A061910, A153745.
%K A153749 nonn,base,fini,bref,full
%O A153749 1,1
%A A153749 _Doug Bell_, Dec 31 2008