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Search: id:A131443
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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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+0
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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Denominators are given in A131444. Rationals in lowest terms.
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LINKS
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W. Lang, Rationals and values.
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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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Sequence in context: A136475 A074249 A101617 this_sequence A059368 A090694 A078431
Adjacent sequences: A131440 A131441 A131442 this_sequence A131444 A131445 A131446
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KEYWORD
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nonn,frac,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Aug 07 2007
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