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 A103733 #6 Sep 03 2022 21:25:17 %S A103733 1,191,853,7537,17587,71369,363749,574621,1895149,3744761,5123791, %T A103733 9167525,19974397,39789335,49243141,89502667,129269281,154098649, %U A103733 253600309,345942995,535842121,917491105,1180249901,1333475377 %N A103733 Column k=6 sequence of array A103728. %C A103733 The two a(n) formulas, given below, produce natural numbers for all n>=0. %F A103733 a(n) = A103728(n+4, 6) = (1 +(p(n+4)-1)*binomial(p(n+4)-1, 6))/p(n+4), with p(n) := A000040(n) (n-th prime). %F A103733 a(n) = (2484 - 3388*p(n+4) + 2359*p(n+4)^2 - 910*p(n+4)^3 + 196*p(n+4)^4 - 22*p(n+4)^5 + p(n+4)^6)/6! = (Sum_{m=0..6} A103718(k, m)*p(n+4)^m)/6!. %Y A103733 Cf. A000040, A103718, A103728. %K A103733 nonn,easy %O A103733 0,2 %A A103733 _Wolfdieter Lang_, Feb 24 2005