The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A125901 Triangle of the denominators of the almost-harmonic numbers: n-th term in m-th row is denominator of (sum{k=1 to m} 1/k) - 1/n, 1<=n<=m. 1

%I #11 Oct 10 2019 14:03:47

%S 1,2,1,6,3,2,12,12,4,6,60,60,20,30,12,20,20,60,5,4,60,140,140,420,35,

%T 28,420,20,280,280,840,280,56,840,40,140,2520,2520,2520,2520,504,2520,

%U 360,1260,280,2520,2520,2520,2520,2520,2520,360,1260,280,2520,27720,27720

%N Triangle of the denominators of the almost-harmonic numbers: n-th term in m-th row is denominator 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;Denominator @ Flatten @ Table[t[m, n], {m, 11}, {n, m}] (* _Ray Chandler_, Dec 14 2006 *)

%Y Cf. A125900.

%K frac,nonn,tabl

%O 1,2

%A _Leroy Quet_, Dec 13 2006

%E Extended by _Ray Chandler_, Dec 14 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 18 16:58 EDT 2024. Contains 372664 sequences. (Running on oeis4.)