A022837 - OEIS

A022837

a(n) = c(0)*p(0) + ... + c(n)*p(n), where c(i) = 1 if a(i-1) < p(i) and c(i) = -1 if a(i-1) >= p(i) (p(0) = 1, p(i) = prime(i)).

1, 3, 0, 5, 12, 1, 14, 31, 12, 35, 6, 37, 0, 41, 84, 37, 90, 31, 92, 25, 96, 23, 102, 19, 108, 11, 112, 9, 116, 7, 120, 247, 116, 253, 114, 263, 112, 269, 106, 273, 100, 279, 98, 289, 96, 293, 94, 305, 82, 309, 80, 313, 74, 315, 64, 321, 58, 327, 56, 333, 52, 335

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Alternative definition: a(0)=1; thereafter a(n) = a(n-1) + prime(n) if a(n-1) < prime(n), otherwise a(n) = a(n-1) - prime(n). Cf. A008348. - N. J. A. Sloane, Aug 31 2019

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

EXAMPLE

From Seiichi Manyama, Sep 05 2019: (Start)

a(0) = 1.

a(1) = 1 + 2 = 3.

a(2) = 1 + 2 - 3 = 0.

a(3) = 1 + 2 - 3 + 5 = 5.

a(4) = 1 + 2 - 3 + 5 + 7 = 12.

a(5) = 1 + 2 - 3 + 5 + 7 - 11 = 1. (End)

CROSSREFS

Cf. A000040, A008348, A008578.