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A023567 Convolution of A023531 and primes. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 21 10:25 EST 2022. Contains 350476 sequences. (Running on oeis4.)