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A003150 Fibonomial Catalan numbers.
(Formerly M3077)
+0
2
1, 1, 3, 20, 364, 17017, 2097018, 674740506, 568965009030, 1255571292290712, 7254987185250544104, 109744478168199574282739, 4346236474244131564253156182, 450625464087974723307205504432150 (list; graph; listen)
OFFSET

0,3

REFERENCES

H. W. Gould, A new primality criterion of Mann and Shanks and its relation to a theorem of Hermite with extension to Fibonomials, Fib. Quart., 10 (1972), 3550-364, 372.

Paul Barry, On Integer-Sequence-Based Constructions of Generalized Pascal Triangles, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.4.

LINKS

T. D. Noe, Table of n, a(n) for n=0..40

FORMULA

F(2n)F(2n-1)...F(n+2)/F(n)F(n-1)...F(1), F = Fibonacci numbers.

EXAMPLE

a(5)=F(10)...F(7)/F(5)...F(1)=55*34*21*13/5*3*2*1*1=17017.

CROSSREFS

Sequence in context: A136551 A086229 A130531 this_sequence A138897 A089943 A108699

Adjacent sequences: A003147 A003148 A003149 this_sequence A003151 A003152 A003153

KEYWORD

nonn,easy,nice

AUTHOR

njas, H. W. Gould

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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