A158023 Sides of squares which are filled exactly (no holes, no overlaps) by the digits needed to write a subsequence of consecutive nonnegative integers starting with 0.

1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, 52, 53, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330

Offset: 1

Author

Eric Angelini, Mar 11 2009

Keywords

• base
• nonn

Comments

The integers fitting exactly in a "nonnegative-integers-digits square" are given by A158022. Terms computed by Jean-Marc Falcoz.

Examples

			...0...01...012...0123...012345
.......23...345...4567...678910
............678...8910...111213
..................1112...141516
.........................171819
.........................202122
The above squares, filled exactly by a subsequence of nonnegative integers starting with 0, have sides 1, 2, 3, 4, 6. There is no side-5 square with this property. The next properly filled square will have side 6.
		

Links

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

Crossrefs

Cf. A158022.