The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A135407 Partial products of A000032 (Lucas numbers beginning at 2). 10
 2, 2, 6, 24, 168, 1848, 33264, 964656, 45338832, 3445751232, 423827401536, 84341652905664, 27158012235623808, 14149324374760003968, 11927880447922683345024, 16269628930966540082612736 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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 LINKS G. C. Greubel, Table of n, a(n) for n = 0..95 FORMULA a(n) = Product_{k=0..n} A000032(k). C = exp( Sum_{k>=1} 1/(k*(((3-sqrt(5))/2)^k-(-1)^k)) ). - Vaclav Kotesovec, Jun 08 2013 EXAMPLE a(0) = L(0) = 2. a(1) = L(0)*L(1) = 2*1 = 2. a(2) = L(0)*L(1)*L(2) = 2*1*3 = 6. a(3) = L(0)*L(1)*L(2)*L(3) = 2*1*3*4 = 24. MATHEMATICA Rest[FoldList[Times, 1, LucasL[Range[0, 20]]]] (* Harvey P. Dale, Aug 21 2013 *) Table[Round[GoldenRatio^(n(n+1)/2) QPochhammer[-1, GoldenRatio-2, n+1]], {n, 0, 20}] (* Vladimir Reshetnikov, Sep 14 2016 *) PROG (PARI) a(n) = prod(k=0, n, fibonacci(k+1)+fibonacci(k-1)); \\ Michel Marcus, Oct 13 2016 CROSSREFS Cf. A000032, A000045, A000204, A003266, A070825, A218490. Sequence in context: A301381 A253093 A052660 * A292831 A076726 A032272 Adjacent sequences:  A135404 A135405 A135406 * A135408 A135409 A135410 KEYWORD easy,nonn AUTHOR Jonathan Vos Post, Dec 09 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 29 08:12 EST 2020. Contains 331337 sequences. (Running on oeis4.)