cp's OEIS Frontend

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).

%I A158028 #4 Jun 09 2016 21:44:33
%S A158028 0,9,81,144,400,625,15625,17956,30276,34225,54289,60516,91204,1113025,
%T A158028 1478656,1934881,2496400,3179089,4000000,4977361,6130576,7480225,
%U A158028 9048064,1009205824,1063281664,1077152400,1134072976,1148667664
%N 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).
%C A158028 The sides of the successive squares are given by A158029. Terms computed by Jean-Marc Falcoz.
%H A158028 Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/DigitSpiral.htm">Digit Spiral</a>
%H A158028 E. Angelini, <a href="/A158022/a158022.pdf">Digit Spiral</a> [Cached copy, with permission]
%e A158028 ...0...01...0116...01161
%e A158028 .......49...4964...49640
%e A158028 ............2539...25390
%e A158028 ............6481...64811
%e A158028 ...................21144
%e A158028 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 A158028 base,nonn
%O A158028 1,2
%A A158028 _Eric Angelini_, Mar 11 2009