A023567 Convolution of A023531 and primes.

0, 2, 3, 5, 9, 14, 18, 24, 32, 39, 51, 57, 71, 85, 94, 108, 124, 142, 152, 176, 193, 205, 229, 249, 271, 295, 315, 336, 364, 386, 408, 444, 468, 490, 526, 561, 583, 617, 663, 681, 717, 745, 781, 831, 862, 894, 924, 968, 1006, 1050, 1100, 1138, 1174

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

a(n) = Sum_{i=0..n-1} A023531(n-i)*p(i+1) where p(i) is the i-th prime.

Maple

Primes:= select(isprime, [2, seq(i, i=3..1000, 2)]):
seq(add(Primes[n - i*(i+3)/2], i=1..floor((sqrt(1+8*n)-3)/2)), n=2..nops(Primes)); # Robert Israel, Dec 28 2015

Prog

(PARI) vector(20, x, c=0; j=x; t=3; while(j>1, c+=prime(j-1); j-=t; t+=1); c)

Crossrefs

Sequence in context: A005244 A058541 A023672 * A076027 A280204 A240841

Adjacent sequences: A023564 A023565 A023566 * A023568 A023569 A023570

Keyword

nonn

Author

Clark Kimberling

Extensions

Corrected (term 781 was missing) by Jeremy Gardiner, Feb 05 2014

Status

approved