A158029 Sides of squares which are filled exactly (no holes, no overlaps) by the digits needed to write a subsequence of consecutive square numbers, starting with 0.

1, 2, 4, 5, 7, 8, 22, 23, 27, 28, 32, 33, 37, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 521, 529, 531, 539, 541, 549, 551, 559, 561, 569, 571, 579, 581, 589, 591, 599, 601, 609, 611, 619, 621, 629, 631, 639, 641, 649, 651, 659, 661, 669, 671

Offset: 1

Author

Eric Angelini, Mar 11 2009

Keywords

• base
• nonn

Comments

The square numbers fitting exactly in a "squares-digits square" are given by A158028. Terms computed by Jean-Marc Falcoz.

Examples

			...0...01...0116...01161
.......49...4964...49640
............2539...25390
............6481...64811
...................21144
The above squares, filled exactly by a subsequence of consecutive square numbers starting with 0 have sides 1, 2, 4, 5. There is no side-3 square with this property. The next properly filled square will have side 7.
		

Links

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