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 A144654 Numerator of Sum_{k=1..n} k*H_{n+k} where H_m = Sum_{i=1..m}. 2
 0, 3, 6, 14, 155, 167, 1239, 433, 8109, 8389, 95051, 97571, 1298453, 1326173, 1351913, 1375937, 47547623, 48268343, 930031437, 314094559, 317974435, 64333911, 498634963, 1511424393, 38157431275, 38514379867, 349718397003, 352692968603, 10311277859587 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Muniru A Asiru, Table of n, a(n) for n = 0..1000 EXAMPLE 0, 3/2, 6, 14, 155/6, 167/4, 1239/20, 433/5, 8109/70, 8389/56, ... MAPLE a:=n->add(k*add(1/i, i=1..n+k), k=1..n): seq(numer(a(n)), n=0..30); # Muniru A Asiru, Dec 03 2018 MATHEMATICA a[n_] := Numerator[Sum[k * HarmonicNumber[n+k], {k, 1, n}]]; Array[a, 30, 0] (* Amiram Eldar, Dec 03 2018 *) PROG (PARI) a(n) = numerator(sum(k=1, n, k*sum(i=1, n+k, 1/i))); \\ Michel Marcus, Dec 03 2018 (GAP) List(List([0..30], n->Sum([1..n], k->k*Sum([1..n+k], i->1/i))), NumeratorRat); # Muniru A Asiru, Dec 03 2018 CROSSREFS Suggested by A102720/A144653. Cf. A001008, A002805, A144655. Sequence in context: A129090 A324222 A058141 * A132279 A334042 A066107 Adjacent sequences: A144651 A144652 A144653 * A144655 A144656 A144657 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Jan 28 2009 STATUS approved

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Last modified May 20 19:00 EDT 2024. Contains 372720 sequences. (Running on oeis4.)