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 A267896 a(n) = (Prime(n+1)^2 - Prime(n)^2) / 8. 1
 2, 3, 9, 6, 15, 9, 21, 39, 15, 51, 39, 21, 45, 75, 84, 30, 96, 69, 36, 114, 81, 129, 186, 99, 51, 105, 54, 111, 420, 129, 201, 69, 360, 75, 231, 240, 165, 255, 264, 90, 465, 96, 195, 99, 615, 651, 225, 114, 231, 354, 120, 615, 381, 390, 399, 135, 411, 279 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Robert Israel, Table of n, a(n) for n = 2..10000 FORMULA a(n) = A024675(n) * A028334(n) / 2. a(n) = (A000040(n+1)^2 - A000040(n)^2) / 8. a(n) = A069482(n) / 8. MAPLE seq((ithprime(n+1)^2 - ithprime(n)^2)/8, n=2..100); # Robert Israel, Jan 22 2016 MATHEMATICA Rest[Array[(Prime[# + 1]^2 - Prime[#]^2) / 8 &, 60]] (* Vincenzo Librandi, Jan 23 2016 *) (#[[2]]-#[[1]])/8&/@Partition[Prime[Range[2, 60]]^2, 2, 1] (* Harvey P. Dale, Aug 01 2022 *) PROG (PARI) a(n) = (prime(n+1)^2 - prime(n)^2)/8; \\ Michel Marcus, Jan 22 2016 (Magma) [(NthPrime(n+1)^2-NthPrime(n)^2) div 8: n in [2..60]]; // Vincenzo Librandi, Jan 23 2016 CROSSREFS Cf. A069482, A028334, A024675, A000040. Sequence in context: A224519 A288842 A108694 * A199858 A357053 A340442 Adjacent sequences: A267893 A267894 A267895 * A267897 A267898 A267899 KEYWORD nonn AUTHOR Franklin T. Adams-Watters, Jan 22 2016 STATUS approved

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Last modified September 29 13:10 EDT 2023. Contains 365771 sequences. (Running on oeis4.)