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 A126884 (2^0)*(2^1)*(2^2)*(2^3)...(2^n)+1 = 2^T_n+1 (cf. A000217). 1

%I

%S 2,3,9,65,1025,32769,2097153,268435457,68719476737,35184372088833,

%T 36028797018963969,7378697629483820645,302231454903657293676545,

%U 2475880078570760549798248449

%N (2^0)*(2^1)*(2^2)*(2^3)...(2^n)+1 = 2^T_n+1 (cf. A000217).

%C For n>1 every odd/even pair share at least one factor.

%F a(n) = 2^A000217(n)+1. - _Michel Marcus_, Jul 16 2013

%o (PARI) a(n) = prod(k=0, n, 2^k) + 1 \\ _Michel Marcus_, Jul 16 2013

%K nonn

%O 0,1

%A _Marco Matosic_, Dec 29 2006

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Last modified December 14 07:03 EST 2019. Contains 329978 sequences. (Running on oeis4.)