This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A075136 #9 Dec 15 2014 04:30:50
%S A075136 1,6,59,812,14389,104038,534113,15837352,177575597,6681333014,
%T A075136 278042982799,93928709068,665521987201,35665695484178,684591747070657,
%U A075136 42155877944972752,42527303541794647,986175536059084606
%N A075136 Numerator of the generalized harmonic number H(n,4,1).
%C A075136 The denominators are in A051539. See A075135 for more details.
%C A075136 Numerators of the partial sums of the divergent series 1/3 + 1/7 + 1/11 + . . 1/(4n-1).
%F A075136 Sum 1/a(n) = 1.111939597509272224249... - _Cino Hilliard_, Dec 21 2003
%t A075136 a=4; b=1; maxN=20; s=0; Numerator[Table[s+=1/(a n + b), {n, 0, maxN-1}]]
%t A075136 Numerator[Accumulate[1/Range[1,69,4]]] (* _Harvey P. Dale_, Dec 15 2014 *)
%o A075136 (PARI) sumrecip(n,a,b) = { s=0; default(realprecision,n); forstep(j=b,n,a, s=s+1/j; print1(numerator(s)",") ) }
%Y A075136 Cf. A051539, A075135.
%K A075136 easy,frac,nonn
%O A075136 1,2
%A A075136 _T. D. Noe_, Sep 04 2002