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A131446 Denominators of n-th approximation of factorial (also called harmonic) expansion of Pi.

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%I A131446 #7 Jan 28 2025 08:38:08
%S A131446 1,1,1,8,15,720,5040,13440,13440,3628800,532224,43545600,691891200,
%T A131446 691891200,108972864000,1902071808000,118562476032000,6847458508800,
%U A131446 24329020081766400,17888985354240000,1344498478202880000
%N A131446 Denominators of n-th approximation of factorial (also called harmonic) expansion of Pi.
%C A131446 Numerators are given in A131445.
%C A131446 For the rationals r(n) and some values see the W. Lang link under A131445.
%F A131446 a(n) = denominator(r(n)), with r(n):=sum(b(k)/k!,n=1..n) with b(k):=A075874(k) (factorial expansion of Pi).
%e A131446 Rationals r(n): [3,3,3,25/8,47/15,2261/720,15833/5040,42223/13440,42223/13440,...].
%Y A131446 Cf. A000796, A131445.
%K A131446 nonn,frac,easy
%O A131446 1,4
%A A131446 _Wolfdieter Lang_, Aug 07 2007