A158028 Square numbers s such that all the digits needed to write the consecutive square numbers from 0 to s fill exactly a square (no holes, no overlaps).

0, 9, 81, 144, 400, 625, 15625, 17956, 30276, 34225, 54289, 60516, 91204, 1113025, 1478656, 1934881, 2496400, 3179089, 4000000, 4977361, 6130576, 7480225, 9048064, 1009205824, 1063281664, 1077152400, 1134072976, 1148667664

Offset: 1

Author

Eric Angelini, Mar 11 2009

Keywords

• base
• nonn

Comments

The sides of the successive squares are given by A158029. Terms computed by Jean-Marc Falcoz.

Examples

			...0...01...0116...01161
.......49...4964...49640
............2539...25390
............6481...64811
...................21144
The square numbers fitting exactly in the SE corner of the above squares are 0, 9, 81, 144. There is no 3x3 square where this is possible.
		

Links

• Eric Angelini, Digit Spiral
• E. Angelini, Digit Spiral [Cached copy, with permission]