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 A222064 #24 Apr 25 2019 04:45:40 %S A222064 0,1,8,69,674,7455,92540,1276569,19394870,321982323,5801055632, %T A222064 112753640109,2352074473226,52419496769991,1243115350746404, %U A222064 31257697673933889,830700701852539742,23266435856618600859,684997785857198880056,21149644833172896698709 %N A222064 a(n) = n-th third-order hypergeometric-harmonic number. %H A222064 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 A222064 a(n) = Sum_{k=0..n} A008277(n,k)*A000142(k)*H3(k) where H3(k) is defined by g.f.:- log(1-x)/(1-x)^3. - _Michel Marcus_, Feb 09 2013 %o A222064 (PARI) %o A222064 hyp(n,alpha) = {x= y+O(y^(n+1)); gf = - log(1-x)/(1-x)^alpha; polcoeff(gf, n, y);} %o A222064 a(n) = {sum(k=0, n, k!*(sum(i=0, k, (-1)^i*binomial(k, i)*i^n)*(-1)^k/k!)*hyp(k,3));} %o A222064 \\ _Michel Marcus_, Feb 09 2013 %Y A222064 Cf. A222057-A222064. Row sums of A222063. %K A222064 nonn %O A222064 0,3 %A A222064 _N. J. A. Sloane_, Feb 08 2013 %E A222064 More terms from _Michel Marcus_, Feb 09 2013