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A131445
Numerators of n-th approximation of factorial (also called harmonic) expansion of Pi.
2
3, 3, 3, 25, 47, 2261, 15833, 42223, 42223, 11400211, 1672031, 136802537, 2173640311, 2173640311, 342348348983, 5975534818613, 372475003693547, 21511925347007, 76431870757915873, 56199904969055789, 4223866541884824563
OFFSET
1,1
COMMENTS
Denominators are given in A131446. Rationals in lowest terms.
FORMULA
a(n) = numerator(r(n)), with r(n) = Sum_{k=1..n} b(k)/k! with b(k) = A075874(k) (factorial expansion of Pi).
EXAMPLE
Rationals r(n): 3, 3, 3, 25/8, 47/15, 2261/720, 15833/5040, 42223/13440, 42223/13440, ...
CROSSREFS
Sequence in context: A127014 A073748 A289118 * A230176 A033874 A122092
KEYWORD
nonn,frac,easy
AUTHOR
Wolfdieter Lang, Aug 07 2007
STATUS
approved