A074637 - OEIS

%I #12 May 16 2022 04:58:23

%S 4,40,524,976,20084,491192,13935164,450160544,93250876,1249813672,

%T 55206526972,2657681947952,46167204272716,235410309457592,

%U 14140794103168588,14376406243883968,978062783205294796

%N Numerator of 4 * H(n,4,3), a generalized harmonic number.

%F a(n) = numerator(4 * Sum_{j=0..n-1} 1/(4*j + 3)) =  numerator(Psi(n + 3/4) - Psi(3/4)), with the Digamma function Psi(z). See a comment in A074638 with the Abramowitz-Stegun link. - _Wolfdieter Lang_, Apr 05 2022

%t Table[ Numerator[ Sum[1/i, {i, 3/4, n}]], {n, 1, 20}]

%Y The denominators are in A074638.

%Y Cf. A075135.

%K easy,frac,nonn

%O 1,1

%A _Robert G. Wilson v_, Aug 27 2002

%E Better description from _T. D. Noe_, Sep 04 2002