A108927 - OEIS

%I #8 Mar 31 2012 10:26:04

%S 32,33,34,35,65,66,67,68,95,97,98,99,320,325,326,328,329,330,331,332,

%T 333,334,335,336,337,338,340,341,350,650,659,660,662,663,664,665,666,

%U 667,668,669,670,671,672,674,675,680,950,970,975,980,985

%N 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.

%C 34, 68 and 99, for instance, are in the sequence because we have the patterns:

%C ......1156.......=34^2............4624......=68^2............9801......=99^2

%C .....111556......=334^2..........446224.....=668^2..........998001.....=999^2

%C ....11115556.....=3334^2........44462224....=6668^2........99980001....=9999^2

%C ...1111155556....=33334^2......4444622224...=66668^2......9999800001...=99999^2

%C ..111111555556...=333334^2....444446222224..=666668^2....999998000001..=999999^2

%K nonn,base

%O 1,1

%A _Lekraj Beedassy_, Jul 19 2005

%E Corrected and extended by _Max Alekseyev_, Dec 10 2011