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 A135407 #35 Oct 13 2016 03:38:09 %S A135407 2,2,6,24,168,1848,33264,964656,45338832,3445751232,423827401536, %T A135407 84341652905664,27158012235623808,14149324374760003968, %U A135407 11927880447922683345024,16269628930966540082612736 %N A135407 Partial products of A000032 (Lucas numbers beginning at 2). %C A135407 This is to A000032 as A003266 is to A000045. a(n) is asymptotic to C*phi^(n*(n+1)/2) where phi=(1+sqrt(5))/2 is the golden ratio and C = 1.3578784076121057013874397... (see A218490). - Corrected and extended by _Vaclav Kotesovec_, Oct 30 2012 %H A135407 G. C. Greubel, <a href="/A135407/b135407.txt">Table of n, a(n) for n = 0..95</a> %F A135407 a(n) = Product_{k=0..n} A000032(k). %F A135407 C = exp( Sum_{k>=1} 1/(k*(((3-sqrt(5))/2)^k-(-1)^k)) ). - _Vaclav Kotesovec_, Jun 08 2013 %e A135407 a(0) = L(0) = 2. %e A135407 a(1) = L(0)*L(1) = 2*1 = 2. %e A135407 a(2) = L(0)*L(1)*L(2) = 2*1*3 = 6. %e A135407 a(3) = L(0)*L(1)*L(2)*L(3) = 2*1*3*4 = 24. %t A135407 Rest[FoldList[Times,1,LucasL[Range[0,20]]]] (* _Harvey P. Dale_, Aug 21 2013 *) %t A135407 Table[Round[GoldenRatio^(n(n+1)/2) QPochhammer[-1, GoldenRatio-2, n+1]], {n, 0, 20}] (* _Vladimir Reshetnikov_, Sep 14 2016 *) %o A135407 (PARI) a(n) = prod(k=0, n, fibonacci(k+1)+fibonacci(k-1)); \\ _Michel Marcus_, Oct 13 2016 %Y A135407 Cf. A000032, A000045, A000204, A003266, A070825, A218490. %K A135407 easy,nonn %O A135407 0,1 %A A135407 _Jonathan Vos Post_, Dec 09 2007