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

1,2

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.

Links

Giovanni Resta, Table of n, a(n) for n = 1..55

Giovanni Resta, Decompositions for the first 55 terms

Example

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

Crossrefs

Cf. A179482.

Sequence in context: A068266 A140350 A309024 * A020420 A155484 A345599

Adjacent sequences: A217244 A217245 A217246 * A217248 A217249 A217250

Keyword

nonn,base

Author

Giovanni Resta, Mar 16 2013

Extensions

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

Status

approved