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A054215 Squares that are concatenations of two consecutive decreasing numbers. 9

%I #17 Oct 17 2019 20:01:50

%S 8281,82428241,98029801,538277538276,998002998001,7783702677837025,

%T 9998000299980001,79225472657922547264,86432513458643251344,

%U 92237976109223797609,99998000029999800001,106710893290106710893289

%N Squares that are concatenations of two consecutive decreasing numbers.

%C Infinitely many terms of this sequence are provided by A168624(k)^2 for k>0. - _Bruno Berselli_, Mar 13 2018

%D Luca, Florian, and Pantelimon Stănică. "Perfect Squares as Concatenation of Consecutive Integers." The American Mathematical Monthly 126.8 (2019): 728-734.

%F a(n) = concatenation of A054214(n) and A054214(n)-1. - _Max Alekseyev_, May 14 2007

%e E.g. '8242' + '8242-1' gives 82428241 which is 9079^2.

%Y Cf. A054214, A054216, A030465, A030466, A030467, A020339, A020340.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Feb 15 2000

%E More terms from _Max Alekseyev_, May 14 2007

%E 82848241 corrected to 82428241 by _Dominick Cancilla_, Jul 21 2010

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)