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

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.

See also A324787, A324788, A324789, A324790.

Sequence in context: A143280 A326988 A088521 * A328631 A225950 A344503

Adjacent sequences: A022834 A022835 A022836 * A022838 A022839 A022840

Keyword

nonn

Author

Clark Kimberling

Extensions

Missing a(46)=94 inserted and name corrected by Sean A. Irvine, May 21 2019

Status

approved