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A158028 Square numbers s such that all the digits needed to write the consecutive square numbers from 0 to s fill exactly a square (no holes, no overlaps). 1

%I

%S 0,9,81,144,400,625,15625,17956,30276,34225,54289,60516,91204,1113025,

%T 1478656,1934881,2496400,3179089,4000000,4977361,6130576,7480225,

%U 9048064,1009205824,1063281664,1077152400,1134072976,1148667664

%N Square numbers s such that all the digits needed to write the consecutive square numbers from 0 to s fill exactly a square (no holes, no overlaps).

%C The sides of the successive squares are given by A158029. 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...0116...01161

%e .......49...4964...49640

%e ............2539...25390

%e ............6481...64811

%e ...................21144

%e The square numbers fitting exactly in the SE corner of the above squares are 0, 9, 81, 144. There is no 3x3 square where this is possible.

%K base,nonn

%O 1,2

%A _Eric Angelini_, Mar 11 2009

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Last modified September 16 07:19 EDT 2021. Contains 347469 sequences. (Running on oeis4.)