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Search: id:A135407
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| A135407 |
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Partial product of A000032 Lucas numbers (beginning at 2). |
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+0
1
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| 2, 2, 6, 24, 168, 1848, 33264, 964656, 45338832, 3445751232, 423827401536, 84341652905664, 27158012235623808, 14149324374760003968, 11927880447922683345024, 16269628930966540082612736
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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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, its decimal expansion submitted as a sequence and that sequence linked to and from this one.
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FORMULA
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a(n) = PRODUCT[k=0..n] A000032(k).
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EXAMPLE
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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.
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CROSSREFS
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Cf. A000032, A000045, A000204, A003266.
Sequence in context: A076741 A093453 A052660 this_sequence A076726 A032272 A004304
Adjacent sequences: A135404 A135405 A135406 this_sequence A135408 A135409 A135410
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 09 2007
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