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A135407 Partial product of A000032 Lucas numbers (beginning at 2). 0
2, 2, 6, 24, 168, 1848, 33264, 964656, 45338832, 3445751232, 423827401536, 84341652905664, 27158012235623808, 14149324374760003968, 11927880447922683345024, 16269628930966540082612736 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

This is to A003266 as A000045 is to A000032. a(n) is asymptotic to C*phi^(n*(n+1)/2)/sqrt(5)^n where phi=(1+sqrt(5))/2 is the golden ratio and C remains to be calculated.

FORMULA

a(n) = PRODUCT[k=0..n] A000032(k).

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.

CROSSREFS

Cf. A000032, A000045, A000204, A003266.

Sequence in context: A076741 A093453 A052660 * A076726 A032272 A179320

Adjacent sequences:  A135404 A135405 A135406 * A135408 A135409 A135410

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 09 2007

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Last modified February 14 18:47 EST 2012. Contains 205663 sequences.