A201122 Differences between odd powers of 6 and the next smaller square

2, 20, 32, 95, 3420, 8847, 89927, 494576, 1347932, 48525552, 265807127, 682379927, 3237653360, 52571448911, 356954431580, 1333226567615, 6534477744687, 69394484050880, 10500704463815, 378025360697340, 13608912985104240, 60046182811381232, 227226500274052935, 442409686123219952, 15926748700435918272

Offset

1,1

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..500

Formula

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

Example

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

Mathematica

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

Crossrefs

Cf. A051217, A200440, A200506

Sequence in context: A261460 A061471 A112271 * A103076 A293029 A298761

Adjacent sequences: A201119 A201120 A201121 * A201123 A201124 A201125

Keyword

nonn

Author

Hugo Pfoertner, Nov 27 2011

Status

approved