%I #12 Nov 22 2022 22:49:22

%S 2,5,16,161,18120,292402183,83969544989433334,

%T 2810244063625364115255545874032279213

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

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

%e a(2) = 2^1 + 3^2 + 5^1 = 16.

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

%Y Cf. A000040, A007318, A007443.

%K nonn

%O 1,1

%A _Philip Trett_, Oct 24 2022