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 A294835 #8 Nov 22 2017 03:26:28 %S A294835 1,14,546,20748,2593500,26799500,991581500,85276009000,5372388567000, %T A294835 59096274237000,3604872728457000,241526472806619000, %U A294835 17631432514883187000,1392883168675771773000,23679013867488120141000,47358027734976240282000,4593728690292695307354000,157718018366715872219154000 %N A294835 Denominators of the partial sums of the reciprocals of the positive tetradecagonal numbers (k + 1)*(6*k + 1) = A051866(k+1), for k >= 0. %C A294835 The corresponding numerators are given in A294834. Details are found there. %F A294835 a(n) = denominator(V(6,1;n)) with V(6,1;n) = Sum_{k=0..n} 1/((k + 1)*(6*k + 1)) = Sum_{k=0..n} 1/A051866(k+1) = (1/5)*Sum_{k=0..n} (1/(k + 1/6) - 1/(k + 1)). For the formula in terms of the digamma function see A294834. %e A294835 See A294834 for the rationals. %o A294835 (PARI) a(n) = denominator(sum(k=0, n, 1/((k + 1)*(6*k + 1)))); \\ _Michel Marcus_, Nov 21 2017 %Y A294835 Cf. A051866, A294834. %K A294835 nonn,frac,easy %O A294835 0,2 %A A294835 _Wolfdieter Lang_, Nov 20 2017