A158029 Sides of squares which are filled exactly (no holes, no overlaps) by the digits needed to write a subsequence of consecutive square numbers, starting with 0.

1, 2, 4, 5, 7, 8, 22, 23, 27, 28, 32, 33, 37, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 521, 529, 531, 539, 541, 549, 551, 559, 561, 569, 571, 579, 581, 589, 591, 599, 601, 609, 611, 619, 621, 629, 631, 639, 641, 649, 651, 659, 661, 669, 671

Offset

1,2

Comments

The square numbers fitting exactly in a "squares-digits square" are given by A158028. Terms computed by Jean-Marc Falcoz.

Links

Table of n, a(n) for n=1..54.

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 above squares, filled exactly by a subsequence of consecutive square numbers starting with 0 have sides 1, 2, 4, 5. There is no side-3 square with this property. The next properly filled square will have side 7.

Crossrefs

Sequence in context: A103118 A346140 A262969 * A217378 A140204 A353926

Adjacent sequences: A158026 A158027 A158028 * A158030 A158031 A158032

Keyword

base,nonn

Author

Eric Angelini, Mar 11 2009

Status

approved