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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
OFFSET
1,1
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 A075878 A092812
KEYWORD
easy,frac,nonn
AUTHOR
Robert G. Wilson v, Aug 27 2002
EXTENSIONS
Better description from T. D. Noe, Sep 04 2002
STATUS
approved