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A354543
Convolution of A007528 and A002476.
2
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
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
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Aug 17 2022
STATUS
approved