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First differences of A031215.
2

%I #10 Jun 06 2021 07:28:48

%S 4,6,6,10,8,6,10,8,10,8,10,12,6,6,18,8,12,12,10,8,12,6,24,6,10,12,12,

%T 8,10,12,18,6,20,12,10,14,10,14,12,12,12,10,14,6,16,12,12,18,20,16,12,

%U 8,16,8,12,6,22,6,12,14,10,18,18,14,10,14,12,18,22,12,6,12,18,6,18,6,24

%N First differences of A031215.

%C All terms are even. Do all even numbers (A005843) appear at least once?

%H G. C. Greubel, <a href="/A155750/b155750.txt">Table of n, a(n) for n = 1..5000</a>

%F a(n) = A001223(2n) + A001223(2n+1). - _R. J. Mathar_, Feb 27 2009

%F a(n) = A031131(2n). - _R. J. Mathar_, Feb 27 2009

%t Table[Prime[2*n+2] - Prime[2 n], {n, 80}] (* _G. C. Greubel_, Jun 05 2021 *)

%o (Sage) [nth_prime(2*n+2) - nth_prime(2*n) for n in (1..80)] # _G. C. Greubel_, Jun 05 2021

%Y Cf. A005843, A031215.

%Y Cf. A001223, A031131, A110854, A155067.

%K nonn,easy

%O 1,1

%A _Paul Curtz_, Jan 26 2009

%E Edited and extended by _R. J. Mathar_, Feb 27 2009