A158026 Fibonacci numbers f such that all the digits needed to write the consecutive Fibonacci numbers from 0 to f fill exactly a square (no holes, no overlaps).

0, 2, 13, 1597, 1134903170, 3416454622906707, 10284720757613717413913, 394810887814999156320699623170776339

Offset

1,2

Comments

The sides of the successive squares are given by A158027. Terms computed by Jean-Marc Falcoz.

Links

Table of n, a(n) for n=1..8.

Eric Angelini, Digit Spiral

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

Example

...0...01...011...011235
.......12...235...813213
............813...455891
..................442333
..................776109
..................871597
The Fibonacci numbers fitting exactly in the SE corner of the above squares are 0, 2, 13, 1597. There are no 4x4 or 5x5 squares where this is possible.

Crossrefs

Sequence in context: A069109 A004071 A174363 * A103641 A144983 A110820

Adjacent sequences: A158023 A158024 A158025 * A158027 A158028 A158029

Keyword

base,nonn

Author

Eric Angelini, Mar 11 2009

Status

approved