A330402 - OEIS

%I #11 Dec 16 2019 02:19:14

%S 2,1,4,5,3,6,8,10,11,9,12,14,16,18,24,20,22,28,30,26,32,34,38,36,42,

%T 40,46,44,50,45,15,54,48,21,17,52,56,60,62,66,58,70,64,78,68,27,29,72,

%U 74,80,82,84,76,96,86,39,35,90,98,102,88,41,51,104,94,100

%N Lexicographically earliest sequence of distinct positive terms with an associate sequence t such that t(0) = 0, and for any n > 0, at least one of t(n-1) - a(n) or t(n-1) + a(n) is a prime number; in case t(n-1) - a(n) is a prime number, set t(n) = t(n-1) - a(n), otherwise set t(n) = t(n-1) + a(n).

%C This sequence is a variant of A330401.

%H Rémy Sigrist, <a href="/A330402/b330402.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A330402/a330402.gp.txt">PARI program for A330402</a>

%e The first terms, alongside t(n), are:

%e   n   a(n)  t(n)

%e   --  ----  ----

%e    0  N/A      0

%e    1     2     2

%e    2     1     3

%e    3     4     7

%e    4     5     2

%e    5     3     5

%e    6     6    11

%e    7     8     3

%e    8    10    13

%e    9    11     2

%e   10     9    11

%e   11    12    23

%e   12    14    37

%o (PARI) See Links section.

%Y Cf. A330401, A330421 (running totals).

%K nonn

%O 1,1

%A _Rémy Sigrist_, Dec 13 2019