A363829 Sum of the divisors of A000129(n) (Pell numbers).

1, 3, 6, 28, 30, 144, 183, 1080, 1188, 3780, 5742, 52416, 33462, 131760, 251100, 1290096, 1145124, 5702400, 6804204, 42336000, 50176404, 146352096, 226041700, 2333111040, 1357893000, 4818528000, 9395060400, 47385112320, 44560482150, 251337038400, 264178169640

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..630 (calculated using Jon E. Schoenfield's a-file at A000129)

Formula

a(n) = sigma(Pell(n)) = A000203(A000129(n)).

Example

a(9)=1188 because Pell(9)=985 has divisors {1, 5, 197, 985}.

Mathematica

DivisorSigma[1, LinearRecurrence[{2, 1}, {1, 2}, 32]] (* Amiram Eldar, Oct 19 2023 *)

Crossrefs

Cf. A000129, A000203, A272040, A363831, A363833, A364818, A364820.

Sequence in context: A366560 A074894 A324146 * A287881 A287883 A246753

Adjacent sequences: A363826 A363827 A363828 * A363830 A363831 A363832

Keyword

nonn

Author

Tyler Busby, Oct 19 2023

Status

approved