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 A127918 #34 Apr 27 2024 08:39:02
%S A127918 3,12,60,168,660,1092,2448,3420,6072,12180,14880,25308,34440,39732,
%T A127918 51888,74412,102660,113460,150348,178920,194472,246480,285852,352440,
%U A127918 456288,515100,546312,612468,647460,721392,1024128,1123980,1285608
%N A127918 Half of product of three numbers: n-th prime, previous and following number.
%C A127918 Apart from the first term, the same as A117762. - _R. J. Mathar_, Jun 14 2008
%C A127918 Except the first term, a(n) is the area of the integer-sided isosceles triangle ABC with AB=AC such that the altitude AH is of prime(n) length.
%C A127918 The couples (a(n), altitude) are (12,3), (60,5), (168,7), (660,11), (1092,13), ... and the sequence of the ratio a(n)/prime(n) is {4, 12, 24, 60, 84, 144, 180, ...} - see A084921. - _Michel Lagneau_, Oct 23 2013
%C A127918 a(n) is also equal to the number of reducible quadratic polynomials in the field of size prime(n). - _James East_, Apr 26 2024
%H A127918 Vincenzo Librandi, <a href="/A127918/b127918.txt">Table of n, a(n) for n = 1..1000</a>
%t A127918 Table[(Prime[n] + 1) Prime[n](Prime[n] - 1)/2, {n, 1, 100}]
%o A127918 (PARI) forprime(p=2,1e3,print1(3*binomial(p+1,3)", ")) \\ _Charles R Greathouse IV_, Jun 16 2011
%o A127918 (Magma) [(NthPrime(n)+1)*NthPrime(n)*(NthPrime(n)-1)/2: n in [1..40]]; // _Vincenzo Librandi_, Apr 09 2017
%Y A127918 Cf. A036689, A034953, A127917, A127920.
%K A127918 nonn,easy
%O A127918 1,1
%A A127918 _Artur Jasinski_, Feb 06 2007