A131445 Numerators of n-th approximation of factorial (also called harmonic) expansion of Pi.
3, 3, 3, 25, 47, 2261, 15833, 42223, 42223, 11400211, 1672031, 136802537, 2173640311, 2173640311, 342348348983, 5975534818613, 372475003693547, 21511925347007, 76431870757915873, 56199904969055789, 4223866541884824563
Offset: 1
Examples
Rationals r(n): 3, 3, 3, 25/8, 47/15, 2261/720, 15833/5040, 42223/13440, 42223/13440, ...
Links
- W. Lang, Rationals and values.
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).
Comments