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.

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

Links

Table of n, a(n) for n=1..51.

Crossrefs

Sequence in context: A070618 A070625 A115421 * A242956 A085259 A054032

Adjacent sequences: A108924 A108925 A108926 * A108928 A108929 A108930

Keyword

nonn,base

Author

Lekraj Beedassy, Jul 19 2005

Extensions

Corrected and extended by Max Alekseyev, Dec 10 2011

Status

approved