This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A093667 #27 Sep 08 2022 08:45:13 %S A093667 4,5,9,9,15,15,21,25,25,35,35,39,45,49,53,55,65,65,69,77,77,85,91,93, %T A093667 99,105,105,111,123,117,133,133,147,141,155,157,161,169,173,175,189, %U A093667 183,195,195,209,211,215,225,231,235,235,249,247,257,263,265,275,275,279 %N A093667 a(n) = prime(n) - prime(n+1) + prime(n+2). %C A093667 Prime terms are balanced primes (A006562). - _Zak Seidov_, Mar 03 2019 %C A093667 a(n) = a(n+1) iff prime(n+3) - prime(n) = 2 * (prime(n+2) - prime(n+1)). It's not possible to get a(n) = a(n+1) = a(n+2). - _Bernard Schott_, Mar 03 2019 %H A093667 Harvey P. Dale, <a href="/A093667/b093667.txt">Table of n, a(n) for n = 1..1000</a> %F A093667 a(n) = A001223(n+1) + A000040(n). - _Michel Marcus_, Apr 17 2015 %t A093667 Table[Prime[n] + Prime[n + 2] - Prime[n + 1], {n, 75}] %t A093667 #[[1]]-#[[2]]+#[[3]]&/@Partition[Prime[Range[70]],3,1] (* _Harvey P. Dale_, Oct 28 2018 *) %o A093667 (Magma) [NthPrime(n)-NthPrime(n+1)+NthPrime(n+2): n in [1..60]]; // _Vincenzo Librandi_, Apr 17 2015 %o A093667 (PARI) vector(80, n, prime(n) - prime(n+1) + prime(n+2)) \\ _Michel Marcus_, Apr 17 2015 %Y A093667 Cf. A000040, A001223, A006562. %K A093667 nonn %O A093667 1,1 %A A093667 _Robert G. Wilson v_, Apr 08 2004