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 A288838 #16 May 15 2022 18:29:26 %S A288838 54,729,6075,40095,229635,1194102,5786802,26572050,116917020, %T A288838 496897335,2051893701,8269753401,32643763425,126557359740, %U A288838 482984209620,1817776934388,6757388169138,24843338857125,90429753439935,326206114635555,1167092987918319,4144371018322194 %N A288838 a(n) = (1/4!)*3^(n+2)*(n+7)*(n+2)*(n+1)*(n). %H A288838 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (15,-90,270,-405,243). %F A288838 O.g.f.: z*3^3*(2-3*z)/(1-3*z)^5. %F A288838 a(n) = A287768(n+7,9). %t A288838 Table[1/4! 3^(n+2) (n+7)(n+2)(n+1)n,{n,30}] (* or *) LinearRecurrence[{15,-90,270,-405,243},{54,729,6075,40095,229635},30] (* _Harvey P. Dale_, May 15 2022 *) %o A288838 (PARI) a(n)=3^n*3*n*(n+1)*(n+2)*(n+7)/8 \\ _Charles R Greathouse IV_, Jun 19 2017 %Y A288838 Column k=9 of A287768. %Y A288838 Cf. A288834, A288835, A288836. %K A288838 nonn,easy %O A288838 1,1 %A A288838 _Gregory Gerard Wojnar_, Jun 17 2017