A201125 Differences between odd powers of 2 and the next smaller square.
1, 4, 7, 7, 28, 23, 92, 7, 28, 112, 448, 1792, 7168, 5503, 22012, 88048, 166831, 296599, 444943, 296863, 1187452, 4749808, 7135951, 4817239, 19268956, 77075824, 118490767, 94338007, 377352028, 1509408112, 3000631951, 5928526807, 11566105231, 21968416927, 39281659711, 59942622847, 45402459391, 181609837564, 726439350256
Offset: 1
Keywords
Examples
a(1)=2^1-1^1=1, a(2)=2^3-2^2=4, a(3)=2^5-5^2=32-25=7
Links
- Hugo Pfoertner, Table of n, a(n) for n = 1..500
Programs
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Mathematica
Table[2^n-Floor[Sqrt[2^n]]^2,{n,1,81,2}] (* Harvey P. Dale, Feb 25 2018 *)
Formula
a(n) = 2^(2*n-1) - floor(sqrt(2^(2*n-1)))^2.
Apparently a(n) = A095803(n)/4 for n >= 1. - Hugo Pfoertner, Dec 07 2022
Comments