A172341 a(n) = ((2^n+1)^n + (2^n-1)^n)/2.

2, 17, 536, 67073, 33882272, 68971196417, 563671581328256, 18454625673706995713, 2418183685055827278828032, 1267705002132225806674491867137, 2658490852011206228820564373456050176, 22300832927617562890791357540524811020664833, 748289708042603836570961041362199661612361094111232

Offset

1,1

Links

Andrew Howroyd, Table of n, a(n) for n = 1..50

Mathematica

Table[((2^x + 1)^x + (2^x - 1)^x)/2, {x, 1, 15}]

Crossrefs

Cf. A172340.

Sequence in context: A293178 A367831 A367829 * A356502 A007759 A062710

Adjacent sequences: A172338 A172339 A172340 * A172342 A172343 A172344

Keyword

nonn

Author

Artur Jasinski, Feb 01 2010

Extensions

a(12) onward from Andrew Howroyd, Oct 29 2025

Status

approved