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Search: id:A131445
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| A131445 |
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Numerators of n-th approximation of factorial (also called harmonic) expansion of Pi. |
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+0
2
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| 3, 3, 3, 25, 47, 2261, 15833, 42223, 42223, 11400211, 1672031, 136802537, 2173640311, 2173640311, 342348348983, 5975534818613, 372475003693547, 21511925347007, 76431870757915873, 56199904969055789, 4223866541884824563
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Denominators are given in A131446. 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):=A075874(k) (factorial expansion of Pi).
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EXAMPLE
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Rationals r(n): [3,3,3,25/8,47/15,2261/720,15833/5040,42223/13440,42223/13440,...].
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CROSSREFS
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Sequence in context: A106542 A127014 A073748 this_sequence A033874 A122092 A025549
Adjacent sequences: A131442 A131443 A131444 this_sequence A131446 A131447 A131448
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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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