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 A222062 #14 Apr 25 2019 04:45:20 %S A222062 0,1,6,42,346,3310,36194,446054,6122442,92668302,1533812722, %T A222062 27565147126,534621745178,11131104732254,247646911102530, %U A222062 5863652049020358,147225092025474154,3907328980930705966,109297865960259305618,3214017757399205062550,99121172016580291190970 %N A222062 a(n) = n-th second-order hypergeometric-harmonic number. %H A222062 Ayhan Dil and Veli Kurt, <a href="https://www.emis.de/journals/INTEGERS/papers/m38/m38.Abstract.html">Polynomials related to harmonic numbers and evaluation of harmonic number series I</a>, INTEGERS, 12 (2012), #A38. %F A222062 a(n) = Sum_{k=0..n} A008277(n,k)*A000142(k)*H2(k) where H2(k) is defined by g.f.: - log(1-x)/(1-x)^2. - _Michel Marcus_, Feb 09 2013 %o A222062 (PARI) %o A222062 hyp(n,alpha) = {x= y+O(y^(n+1)); gf = - log(1-x)/(1-x)^alpha; polcoeff(gf, n, y);} %o A222062 a(n) = {sum(k=0, n, k!*(sum(i=0, k, (-1)^i*binomial(k, i)*i^n)*(-1)^k/k!)*hyp(k,2));} %o A222062 \\ _Michel Marcus_, Feb 09 2013 %Y A222062 Cf. A222057-A222064. Row sums of A222061. %K A222062 nonn %O A222062 0,3 %A A222062 _N. J. A. Sloane_, Feb 08 2013 %E A222062 More terms from _Michel Marcus_, Feb 09 2013