A358004 Sum of the first n prime numbers with each term raised to the power of the corresponding n-th row of Pascal's triangle.

2, 5, 16, 161, 18120, 292402183, 83969544989433334, 2810244063625364115255545874032279213

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Formula

a(n) = Sum_{k=1..n} prime(k)^binomial(n-1,k-1).

Example

a(2) = 2^1 + 3^2 + 5^1 = 16.
a(5) = 2^1 + 3^4 + 5^6 + 7^4 + 11^1 = 18120.

Crossrefs

Cf. A000040, A007318, A007443.

Sequence in context: A306020 A357341 A037075 * A115894 A033835 A366609

Adjacent sequences: A358001 A358002 A358003 * A358005 A358006 A358007

Keyword

nonn

Author

Philip Trett, Oct 24 2022

Status

approved