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A014686 In sequence of prime numbers add 1 to first prime, 3rd prime, fifth prime, ... then subtract 1 from 2nd prime, fourth prime, sixth prime and so on. 8

%I

%S 3,2,6,6,12,12,18,18,24,28,32,36,42,42,48,52,60,60,68,70,74,78,84,88,

%T 98,100,104,106,110,112,128,130,138,138,150,150,158,162,168,172,180,

%U 180,192,192,198,198,212,222,228,228,234,238,242,250,258,262,270,270

%N In sequence of prime numbers add 1 to first prime, 3rd prime, fifth prime, ... then subtract 1 from 2nd prime, fourth prime, sixth prime and so on.

%H Harvey P. Dale, <a href="/A014686/b014686.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n)=prime(n)-(-1)^n=A000040(n)-A033999(n+1). [From _Juri-Stepan Gerasimov_, Sep 11 2009]

%t Module[{nn=60},Total/@Partition[Riffle[Prime[Range[nn]],{1,-1},{2,-1,2}],2]] (* _Harvey P. Dale_, Oct 04 2019 *)

%K nonn,easy

%O 1,1

%A _Mohammad K. Azarian_

%E More terms from Andrew J. Gacek (andrew(AT)dgi.net)

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Last modified November 19 22:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)