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A193757
Numbers which can be written with their digits in order and using only a plus and a squaring operator.
1
1, 2, 3, 4, 5, 6, 7, 8, 9, 81, 89, 136, 264, 333, 337, 425, 441, 445, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1306, 1346, 1386, 1521, 1525, 1634, 1636, 1674, 1693, 1745, 2025, 2116, 2225, 2401, 2403, 2407, 2465, 2536, 2576, 2601, 2624
OFFSET
1,2
COMMENTS
Erich Friedman calls them S-numbers. It was proved that such numbers are infinitely many but their density is 0.
EXAMPLE
81 = (8 + 1)^2.
89 = 8 + 9^2.
136 = (1 + 3^2)^2 + 6^2.
264 = 2 + 6 + (4^2)^2.
CROSSREFS
Sequence in context: A272360 A288946 A237346 * A246605 A038178 A023106
KEYWORD
nonn,base
AUTHOR
Kausthub Gudipati, Aug 31 2011
STATUS
approved