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A158023
Sides of squares which are filled exactly (no holes, no overlaps) by the digits needed to write a subsequence of consecutive nonnegative integers starting with 0.
1
1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, 52, 53, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330
OFFSET
1,2
COMMENTS
The integers fitting exactly in a "nonnegative-integers-digits square" are given by A158022. Terms computed by Jean-Marc Falcoz.
LINKS
Eric Angelini, Digit Spiral
E. Angelini, Digit Spiral [Cached copy, with permission]
EXAMPLE
...0...01...012...0123...012345
.......23...345...4567...678910
............678...8910...111213
..................1112...141516
.........................171819
.........................202122
The above squares, filled exactly by a subsequence of nonnegative integers starting with 0, have sides 1, 2, 3, 4, 6. There is no side-5 square with this property. The next properly filled square will have side 6.
CROSSREFS
Sequence in context: A034884 A137291 A032954 * A004271 A004278 A333183
KEYWORD
base,nonn
AUTHOR
Eric Angelini, Mar 11 2009
STATUS
approved