A088747 a(n) = prime(Pell(n)).

2, 3, 11, 37, 109, 349, 1009, 2801, 7759, 21157, 56611, 150107, 394817, 1031141, 2676301, 6908743, 17756213, 45456347, 115973411, 294965017, 748174379, 1893049583, 4779198503, 12041422223, 30283040819, 76031275933, 190595971639, 477106841977, 1192736624467, 2978116914517

Offset

1,1

Comments

Pell numbers starting with n = 1 are 1, 2, 5, 12, 29, 70, 169, ...; as found in A000129.

Links

Amiram Eldar, Table of n, a(n) for n = 1..46

Formula

a(n) = A000040(A000129(n)).

Example

a(4) = 37 since A000129(4) = 12 and the 12th prime is 37.

Mathematica

a[n_] := Prime[Fibonacci[n, 2]]; Array[a, 30] (* Amiram Eldar, Jul 11 2025 *)

Crossrefs

Cf. A000040, A000129.

Sequence in context: A093804 A084121 A358867 * A231574 A365288 A007756

Adjacent sequences: A088744 A088745 A088746 * A088748 A088749 A088750

Keyword

nonn

Author

Gary W. Adamson, Oct 14 2003

Extensions

More terms from Ray Chandler, Oct 18 2003

More terms from Amiram Eldar, Jul 11 2025

Status

approved