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A105804
a(n)=F(n-1)a(n-1)+F(n)a(n-2), where F = A000045 (Fibonacci numbers), a(0)=0, a(1)=1.
0
0, 1, 1, 3, 9, 42, 282, 2802, 42348, 984576, 35804724, 2056887084, 188218830732, 27582766315980, 6497743050809304, 2466474617607855408, 1510962789131940581928, 1495259232837545099449512, 2391833322688676458284572616, 6186748984680033744268134049416
OFFSET
0,4
FORMULA
a(n) ~ c * ((1+sqrt(5))/2)^(n*(n-1)/2) / 5^(n/2), where c = 49.6023707313141860163673593923904868464364654572509980004... . - Vaclav Kotesovec, Nov 27 2015
MATHEMATICA
RecurrenceTable[{a[0]==0, a[1]==1, a[n]==Fibonacci[n-1]a[n-1]+ Fibonacci[ n] a[n-2]}, a, {n, 20}] (* Harvey P. Dale, Apr 25 2014 *)
CROSSREFS
Cf. A096655.
Sequence in context: A018995 A018965 A357703 * A009402 A009584 A013562
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 20 2005
EXTENSIONS
Corrected and extended by Harvey P. Dale, Apr 25 2014
STATUS
approved