A074637 Numerator of 4 * H(n,4,3), a generalized harmonic number.

4, 40, 524, 976, 20084, 491192, 13935164, 450160544, 93250876, 1249813672, 55206526972, 2657681947952, 46167204272716, 235410309457592, 14140794103168588, 14376406243883968, 978062783205294796

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Formula

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

Mathematica

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

Crossrefs

The denominators are in A074638.

Cf. A075135.

Sequence in context: A218302 A296100 A214553 * A371676 A379244 A075878

Adjacent sequences: A074634 A074635 A074636 * A074638 A074639 A074640

Keyword

easy,frac,nonn

Author

Robert G. Wilson v, Aug 27 2002

Extensions

Better description from T. D. Noe, Sep 04 2002

Status

approved