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A237872

Numerator of Sum_{i=1..n} n^i/i.

1, 4, 33, 292, 10085, 48756, 2827293, 257063528, 13779684369, 70889442280, 72634140523901, 314690934778068, 140915129117772841, 5533416685634616884, 251767541303505518145, 55644156684309383260624, 7481965178603932789388755

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OFFSET

1,2

COMMENTS

The sequence gives the numerators of -n^(n+1)*Phi(n,1,n+1)-log(-n+1) for n>1, where Phi is the Lerch transcendent.

LINKS

Bruno Berselli, Table of n, a(n) for n = 1..100

MAPLE

A237872:=n->numer(add(n^i/i, i=1..n)): seq(A237872(n), n=1..20); # Wesley Ivan Hurt, Apr 26 2017

MATHEMATICA

f[n_] := Sum[n^i/i, {i, 1, n}]; Table[Numerator[f[n]], {n, 1, 20}]

PROG

(Magma) terms:=20; s:=[&+[n^i/i: i in [1..n]]: n in [1..terms]]; [Numerator(s[n]): n in [1..terms]];

CROSSREFS

Cf. A236772, A237873 (denominators).

Sequence in context: A246806 A202765 A264830 * A123780 A054371 A372897

Adjacent sequences: A237869 A237870 A237871 * A237873 A237874 A237875

KEYWORD

nonn,frac

AUTHOR

Bruno Berselli, Feb 14 2014

STATUS

approved

URL: https://oeis.org/A237872

⇱ A237872 - OEIS