A120467 a(n) = Product_{i=0..n} prime(i+1)^(Fibonacci(i) mod 2).

1, 3, 15, 15, 165, 2145, 2145, 40755, 937365, 937365, 29058315, 1075157655, 1075157655, 46231779165, 2172893620755, 2172893620755, 128200723624545, 7820244141097245, 7820244141097245, 555237334017904395

Offset

0,2

References

J. Donald Monk, Mathematical Logic, Springer-Verlag, New York, 1976, page 72.

Links

G. C. Greubel, Table of n, a(n) for n = 0..485

Formula

a(n) = Product_{i=0..n} prime(i+1)^(Fibonacci(i) mod 2).

a(n) = Product_{j=0..n} prime(j+1)^A011655(j).

Mathematica

Table[Product[Prime[i+1]^Mod[Fibonacci[i], 2], {i, 0, n}], {n, 0, 30}]

Prog

(Magma) [(&*[NthPrime(j+1)^(j^2 mod 3): j in [0..n]]): n in [0..30]]; // G. C. Greubel, Dec 20 2022
(SageMath)
def A120467(n): return product( nth_prime(j+1)^(j^2%3) for j in range(n+1) )
[A120467(n) for n in range(31)] # G. C. Greubel, Dec 20 2022

Crossrefs

Cf. A000045, A011655.

Sequence in context: A133227 A237628 A074043 * A381561 A323499 A332961

Adjacent sequences: A120464 A120465 A120466 * A120468 A120469 A120470

Keyword

nonn

Author

Roger L. Bagula, Jul 03 2006

Extensions

Edited by G. C. Greubel, Dec 20 2022

Status

approved