A134735 - OEIS

%I #13 Oct 01 2021 18:19:52

%S 2,1,3,2,5,2,7,4,11,2,13,4,17,2,19,4,23,6,29,2,31,6,37,4,41,2,43,4,47,

%T 6,53,6,59,2,61,6,67,4,71,2,73,6,79,4,83,6,89,8,97,4,101,2,103,4,107,

%U 2,109,4,113,14,127,4,131,6,137,2

%N Primes followed by the difference from the next prime.

%H Reinhard Zumkeller, <a href="/A134735/b134735.txt">Table of n, a(n) for n = 1..10000</a>

%H Omar E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica de los numeros primos y perfectos</a>.

%F If n is odd then a(n) = A000040((n+1)/2) else a(n) = A001223(n/2).

%t With[{pr=Prime[Range[40]]},Riffle[pr,Differences[pr]]] (* _Harvey P. Dale_, Jul 17 2020 *)

%o (Haskell)

%o import Data.List (transpose)

%o a134735 n = a134735_list !! (n-1)

%o a134735_list = concat $ transpose [a000040_list, a001223_list]

%o -- _Reinhard Zumkeller_, Dec 12 2012

%Y Prime numbers: A000040. Differences between consecutive primes: A001223.

%Y Cf. A219606.

%K easy,nonn

%O 1,1

%A _Omar E. Pol_, Nov 11 2007