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.

316713, 334401, 658635

Offset: 1

Author

Doug Bell, Dec 31 2008

Keywords

• nonn
• base
• fini
• bref
• full

Comments

This is the complete sequence. This sequence is a subsequence of both A153745 and A061910.

Examples

			316713^2 = 100307124369;
1+0+0+3+0+7+1+2+4+3+6+9 = 36 = 6^2;
10+03+07+12+43+69 = 144 = 12^2;
100+307+124+369 = 900 = 30^2;
1003+0712+4369 = 6084 = 78^2;
100307+124369 = 224676 = 474^2.
		

Crossrefs

Cf. A061910, A153745.