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).

0, 9, 81, 144, 400, 625, 15625, 17956, 30276, 34225, 54289, 60516, 91204, 1113025, 1478656, 1934881, 2496400, 3179089, 4000000, 4977361, 6130576, 7480225, 9048064, 1009205824, 1063281664, 1077152400, 1134072976, 1148667664

Offset

1,2

Comments

The sides of the successive squares are given by A158029. Terms computed by Jean-Marc Falcoz.

Links

Table of n, a(n) for n=1..28.

Eric Angelini, Digit Spiral

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

Example

...0...01...0116...01161
.......49...4964...49640
............2539...25390
............6481...64811
...................21144
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.

Crossrefs

Sequence in context: A208502 A175370 A207695 * A207591 A207924 A343134

Adjacent sequences: A158025 A158026 A158027 * A158029 A158030 A158031

Keyword

base,nonn

Author

Eric Angelini, Mar 11 2009

Status

approved