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A171645 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. 1
2, 4, 8, 12, 18, 30, 50, 70, 98, 154, 242, 286, 338, 442, 578, 646, 722, 874, 1058, 1334, 1682, 1798, 1922, 2294, 2738 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Analogous formulas using A000041 terms = A171646; Fibonacci numbers, A006498; factorials, A010551.
LINKS
FORMULA
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.
a(n)=2*A057602(n-1). [From R. J. Mathar, Dec 15 2009]
EXAMPLE
a(10) = 154 = 2*2*2*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*(11/7).
CROSSREFS
Sequence in context: A294049 A006500 A134181 * A125606 A192078 A136184
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Dec 13 2009
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)