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A108927
Start of a number sequence built by successively repeating the first digit and whose squares form a corresponding sequence built by successively repeating a digit on both sides.
0
32, 33, 34, 35, 65, 66, 67, 68, 95, 97, 98, 99, 320, 325, 326, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 340, 341, 350, 650, 659, 660, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 674, 675, 680, 950, 970, 975, 980, 985
OFFSET
1,1
COMMENTS
34, 68 and 99, for instance, are in the sequence because we have the patterns:
......1156.......=34^2............4624......=68^2............9801......=99^2
.....111556......=334^2..........446224.....=668^2..........998001.....=999^2
....11115556.....=3334^2........44462224....=6668^2........99980001....=9999^2
...1111155556....=33334^2......4444622224...=66668^2......9999800001...=99999^2
..111111555556...=333334^2....444446222224..=666668^2....999998000001..=999999^2
CROSSREFS
Sequence in context: A070618 A070625 A115421 * A242956 A085259 A054032
KEYWORD
nonn,base
AUTHOR
Lekraj Beedassy, Jul 19 2005
EXTENSIONS
Corrected and extended by Max Alekseyev, Dec 10 2011
STATUS
approved