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

2,1

Comments

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

Links

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

Formula

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

Example

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

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);

Crossrefs

Cf. A002476, A007528, A354542.

Sequence in context: A330233 A220014 A157286 * A324072 A327901 A346910

Adjacent sequences: A354540 A354541 A354542 * A354544 A354545 A354546

Keyword

nonn

Author

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

Status

approved