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 A103845 #10 Nov 21 2013 12:48:38 %S A103845 1,2,4,13,85,925,16633,482329,22669417,1722875617,211913700769, %T A103845 42170826452833,13579006117811905,7074662187380001985, %U A103845 5963940223961341672513,8134814465483270041306369 %N A103845 Product of first n Lucas numbers, plus one. %C A103845 Prime for n = 1, 3, 6; semiprime for n = 2, 4, 7, 8, 9, 10, 13, 14, 15, 23, 26. a(n) asymptotic to Phi^A000217(n). %F A103845 a(n) = Product[Lucasi[k], {k, 1, n}]+1. a(n) = Product[A000217(k), {k, 1, n}]+1. %F A103845 a(n) = A070825(n)+1, n>0. - R. J. Mathar, Dec 22 2010 %e A103845 a(10) = 1 * 3 * 4 * 7 * 11 * 18 * 29 * 47 * 76 * 123 + 1 = 211913700769 = 349 * 607202581 which is semiprime. %t A103845 Join[{1},Rest[FoldList[Times,1,LucasL[Range[20]]]]+1] (* _Harvey P. Dale_, Oct 25 2011 *) %Y A103845 Cf. A000045, A000204, A000217, A052449, A103815. %K A103845 easy,nonn %O A103845 0,2 %A A103845 _Jonathan Vos Post_, Mar 30 2005