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 A128575 #6 Mar 19 2016 09:34:37 %S A128575 1,6,84,1638,38976,1068480,32716992,1098069504,39896236800, %T A128575 1555603999488,64678765165056,2853714891138048,133101200708356608, %U A128575 6542154022577467392,337978986519657627648,18310837206705702672384 %N A128575 Row 5 of table A128570. %H A128575 Vaclav Kotesovec, <a href="/A128575/b128575.txt">Table of n, a(n) for n = 0..350</a> %F A128575 G.f.: A(x) = 1 + 6x*R(x,6)^2, where R(x,6) = 1 + 7*x*R(x,7)^2, R(x,7) = 1 + 8*x*R(x,8)^2, ..., R(x,n) = 1 + (n+1)*x*R(x,n+1)^2, ... and R(x,n) is the g.f. of row n of table A128570. %F A128575 a(n) ~ 128*n^5*A128318(n)/3645. - _Vaclav Kotesovec_, Mar 19 2016 %o A128575 (PARI) {a(n)=local(A=1+(n+6)*x);for(j=0,n,A=1+(n+6-j)*x*A^2 +x*O(x^n)); polcoeff(A,n)} %Y A128575 Cf. A128570 (triangle), other rows: A128318, A128571, A128572, A128573, A128574, A128576; A128577 (square of row 0), A128578 (main diagonal), A128579 (antidiagonal sums). %K A128575 nonn %O A128575 0,2 %A A128575 _Paul D. Hanna_, Mar 11 2007