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Differences between odd powers of 6 and the next smaller square
2

%I #8 Aug 12 2012 08:46:34

%S 2,20,32,95,3420,8847,89927,494576,1347932,48525552,265807127,

%T 682379927,3237653360,52571448911,356954431580,1333226567615,

%U 6534477744687,69394484050880,10500704463815,378025360697340,13608912985104240,60046182811381232,227226500274052935,442409686123219952,15926748700435918272

%N Differences between odd powers of 6 and the next smaller square

%H Hugo Pfoertner, <a href="/A201122/b201122.txt">Table of n, a(n) for n = 1..500</a>

%F a(n)=6^(2*n-1) - floor(sqrt(6^(2*n-1)))^2

%e a(1)=6^1-2^2=2, a(2)=6^3-14^2=216-196=20, a(3)=6^5-88^2=7776-7744=32

%t #-Floor[Sqrt[#]]^2&/@(6^Range[1,51,2]) (* _Harvey P. Dale_, Aug 12 2012 *)

%Y Cf. A051217, A200440, A200506

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Nov 27 2011