Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 Oct 10 2019 14:04:07
%S 0,1,1,5,4,3,13,19,7,11,77,107,39,61,25,29,39,127,11,9,137,223,293,
%T 949,82,67,1019,49,481,621,2003,691,141,2143,103,363,4609,5869,6289,
%U 6499,1325,6709,967,3407,761,4861,6121,6541,6751,6877,6961,1003,3533,789
%N Triangle of the numerators of the almost-harmonic numbers: n-th term in m-th row is numerator of (sum{k=1 to m} 1/k) - 1/n, 1<=n<=m.
%e Triangle of almost-harmonic numbers begins:
%e 0
%e 1/2,1
%e 5/6,4/3,3/2
%e 13/12,19/12,7/4,11/6
%e 77/60,107/60,39/20,61/30,25/12
%t t[m_, n_] := Sum[1/k, {k, m}] - 1/n;Numerator @ Flatten @ Table[t[m, n], {m, 10}, {n, m}] (* _Ray Chandler_, Dec 14 2006 *)
%Y Cf. A125901.
%K frac,nonn,tabl
%O 1,4
%A _Leroy Quet_, Dec 13 2006
%E Extended by _Ray Chandler_, Dec 14 2006