|
|
A074637
|
|
Numerator of 4 * H(n,4,3), a generalized harmonic number.
|
|
3
|
|
|
4, 40, 524, 976, 20084, 491192, 13935164, 450160544, 93250876, 1249813672, 55206526972, 2657681947952, 46167204272716, 235410309457592, 14140794103168588, 14376406243883968, 978062783205294796
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
easy,frac,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Better description from T. D. Noe, Sep 04 2002
|
|
STATUS
|
approved
|
|
|
|