A354543 Convolution of A007528 and A002476.

35, 142, 357, 746, 1351, 2250, 3533, 5248, 7467, 10232, 13675, 17910, 22979, 28972, 35931, 44192, 53677, 64392, 76727, 90640, 106209, 123614, 142849, 164232, 187841, 213802, 242181, 273080, 306733, 343266, 382745, 425218, 470685, 519740, 572275, 628302, 688277, 752440, 820557, 892634, 969475

Offset: 2

Author

J. M. Bergot and Robert Israel, Aug 17 2022

Keywords

• nonn

Comments

Convolution of the primes == 1 (mod 6) and the primes == 5 (mod 6).

Examples

			a(4) = A007528(1)*A002476(3) + A007528(2)*A002476(2) + A007528(3)*A002476(1) = 7*17 + 13*11 + 19*5 = 357.
		

Links

• Robert Israel, Table of n, a(n) for n = 2..10000

Crossrefs

Cf. A002476, A007528, A354542.

Programs

Maple

P1:= select(isprime, [seq(i,i=1..10000,6)]):
P5:= select(isprime, [seq(i,i=5..10000,6)]):
seq(add(P1[i]*P5[n-i],i=1..n-1), n=1..min(nops(P1),nops(P5))+1);

Formula

a(n) = Sum_{j=1..n-1} A007528(j)*A002476(n-j).