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%I #5 Apr 26 2022 07:44:59
%S 2,4,8,12,18,30,50,70,98,154,242,286,338,442,578,646,722,874,1058,
%T 1334,1682,1798,1922,2294,2738
%N Partial products of Product_{n=1..inf.} (p(n)/p(n-1)*p(n)/p(n-1)), = 2*2*2*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*(11/7)*(11/7)*...; p = primes, A000040, a(1) = 2.
%C Analogous formulas using A000041 terms = A171646; Fibonacci numbers, A006498; factorials, A010551.
%F Partial products of Product_{n=1..inf.} (p(n)/p(n-1)*p(n)/p(n-1)), =
%F 2*2*2*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*(11/7)*(11/7)*...; p = primes,
%F A000040, a(1) = 2.
%F a(n)=2*A057602(n-1). [From _R. J. Mathar_, Dec 15 2009]
%e a(10) = 154 = 2*2*2*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*(11/7).
%Y Cf. A171646, A006498, A010551.
%K nonn
%O 1,1
%A _Gary W. Adamson_, Dec 13 2009
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