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 A064304 #9 Jul 26 2022 10:08:35 %S A064304 1,429,14589,137089,702297,2537781,7312789,17981769,39322929,78571837, %T A064304 146150061,256488849,428947849,688828869,1068484677,1608522841, %U A064304 2359104609,3381338829,4748770909,6548966817 %N A064304 Eighth diagonal of triangle A064094. %H A064304 Stefano Spezia, <a href="/A064304/b064304.txt">Table of n, a(n) for n = 0..10000</a> %H A064304 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A064304 a(n) = 1 + 6*n + 20*n^2 + 48*n^3 + 90*n^4 + 132*n^5 + 132*n^6, compare to row n = 6 of Catalan triangle A009766. %F A064304 G.f.: (1 + 422*x + 11607*x^2 + 43940*x^3 + 34063*x^4 + 4950*x^5 + 57*x^6)/(1 - x)^7. %F A064304 E.g.f.: exp(x)*(1 + 428*x + 6866*x^2 + 15768*x^3 + 9990*x^4 + 2112*x^5 + 132*x^6). - _Stefano Spezia_, Jul 24 2022 %Y A064304 Cf. A009766, A064094, A064304 (eighth diagonal). %K A064304 nonn,easy %O A064304 0,2 %A A064304 _Wolfdieter Lang_, Sep 13 2001