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 A036224 #13 Oct 01 2023 12:12:38 %S A036224 1,21,336,4536,54432,598752,6158592,60046272,560431872,5043886848, %T A036224 44019376128,374164697088,3108445175808,25311625003008, %U A036224 202493000024064,1594632375189504,12381851383824384,94927527275986944 %N A036224 Expansion of (-1+1/(1-6*x)^6)/(36*x); related to A036084. %H A036224 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (36, -540, 4320, -19440, 46656, -46656). %F A036224 a(n) = 6^(n-1)*binomial(n+6, 5); %F A036224 g.f. (-1+(1-6*x)^(-6))/(x*6^2). %o A036224 (Sage) [lucas_number2(n, 6, 0)*binomial(n,5)/6^7for n in range(6, 24)] # _Zerinvary Lajos_, Mar 13 2009 %Y A036224 Cf. A036084, A036083. %K A036224 easy,nonn %O A036224 0,2 %A A036224 _Wolfdieter Lang_