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A131443
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Numerators of n-th approximation of factorial (also called harmonic) expansion of the golden section phi:=(1+sqrt(5))/2.
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2
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1, 3, 3, 19, 97, 97, 453, 65239, 36697, 5871521, 3075559, 775040869, 10075531303, 10075531303, 2115861573641, 2115861573641, 22135167231937, 941750751322411, 39365181405276781, 3936518140527678109
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OFFSET
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1,2
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COMMENTS
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Denominators are given in A131444. Rationals in lowest terms.
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LINKS
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FORMULA
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a(n)=numerator(r(n)), with r(n):=sum(b(k)/k!,n=1..n) with b(k):=A068451(k ) (factorial expansion of phi).
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EXAMPLE
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Rationals r(n):[1, 3/2, 3/2, 19/12, 97/60, 97/60, 453/280, 65239/40320, ...].
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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STATUS
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approved
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