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A267896 a(n) = (Prime(n+1)^2 - Prime(n)^2) / 8.

%I A267896 #19 Sep 08 2022 08:46:15
%S A267896 2,3,9,6,15,9,21,39,15,51,39,21,45,75,84,30,96,69,36,114,81,129,186,
%T A267896 99,51,105,54,111,420,129,201,69,360,75,231,240,165,255,264,90,465,96,
%U A267896 195,99,615,651,225,114,231,354,120,615,381,390,399,135,411,279
%N A267896 a(n) = (Prime(n+1)^2 - Prime(n)^2) / 8.
%H A267896 Robert Israel, <a href="/A267896/b267896.txt">Table of n, a(n) for n = 2..10000</a>
%F A267896 a(n) = A024675(n) * A028334(n) / 2.
%F A267896 a(n) = (A000040(n+1)^2 - A000040(n)^2) / 8.
%F A267896 a(n) = A069482(n) / 8.
%p A267896 seq((ithprime(n+1)^2 - ithprime(n)^2)/8, n=2..100); # _Robert Israel_, Jan 22 2016
%t A267896 Rest[Array[(Prime[# + 1]^2 - Prime[#]^2) / 8 &, 60]] (* _Vincenzo Librandi_, Jan 23 2016 *)
%t A267896 (#[[2]]-#[[1]])/8&/@Partition[Prime[Range[2,60]]^2,2,1] (* _Harvey P. Dale_, Aug 01 2022 *)
%o A267896 (PARI) a(n) = (prime(n+1)^2 - prime(n)^2)/8; \\ _Michel Marcus_, Jan 22 2016
%o A267896 (Magma) [(NthPrime(n+1)^2-NthPrime(n)^2) div 8: n in [2..60]]; // _Vincenzo Librandi_, Jan 23 2016
%Y A267896 Cf. A069482, A028334, A024675, A000040.
%K A267896 nonn
%O A267896 2,1
%A A267896 _Franklin T. Adams-Watters_, Jan 22 2016