A217247 Numbers that can be obtained by inserting multiplication signs among the digits of their squares.

1, 3168, 33696, 322056, 422352, 801792, 3408048, 13304736, 24772608, 26836992, 31959648, 43932456, 98558208, 152845056, 238267008, 250677504, 362330496, 413779968, 511967232, 567502848, 646507008, 1060190208, 1273234464, 1288514304, 1503330304

Offset: 1

Author

Giovanni Resta, Mar 16 2013

Keywords

• nonn
• base

Comments

The first nontrivial term such that the resulting multiplicands have no leading zeros is given by 152845056^2 = 23361611143643136 and 2*3*3*6*1*6*1*1*14*3*6*4*3*13*6 = 152845056.

Examples

			3168 is in the sequence since its square is 10036224 and 1*0036*22*4 = 3168.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..55
• Giovanni Resta, Decompositions for the first 55 terms

Crossrefs

Cf. A179482.

Extensions

Typo in example corrected by Christian N. K. Anderson, Apr 04 2013