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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). 1

%I #4 Jun 09 2016 21:44:05

%S 0,2,13,1597,1134903170,3416454622906707,10284720757613717413913,

%T 394810887814999156320699623170776339

%N 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).

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

%H Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/DigitSpiral.htm">Digit Spiral</a>

%H E. Angelini, <a href="/A158022/a158022.pdf">Digit Spiral</a> [Cached copy, with permission]

%e ...0...01...011...011235

%e .......12...235...813213

%e ............813...455891

%e ..................442333

%e ..................776109

%e ..................871597

%e 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.

%K base,nonn

%O 1,2

%A _Eric Angelini_, Mar 11 2009

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