A158027 Sides of squares which are filled exactly (no holes, no overlaps) by the digits needed to write a subsequence of consecutive Fibonacci numbers, starting with 0.

1, 2, 3, 6, 15, 25, 35, 56, 227, 398, 847, 986, 1713, 4589, 6460, 7465, 24860, 28741

Offset: 1

Author

Eric Angelini, Mar 11 2009

Keywords

• base
• nonn

Comments

The Fibonacci numbers fitting exactly in a "Fibonacci-digits square" are given by A158026. Terms computed by Jean-Marc Falcoz.

Examples

			...0...01...011...011235
.......12...235...813213
............813...455891
..................442333
..................776109
..................871597
The above squares, filled exactly by a subsequence of consecutive Fibonacci numbers starting with 0 have sides 1, 2, 3, 6. There are no side-4 and side-5 squares with this property. The next properly filled square will have side 15.
		

Links

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