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 A383139 #8 Apr 17 2025 12:27:44 %S A383139 0,1,36,447,3768,25725,153468,832923,4213296,20179449,92510100, %T A383139 409137399,1755881064,7345518453,30059956332,120676965075, %U A383139 476358203232,1852442299377,7108046758404,26948581794351,101065091563800,375297714478701,1381124599327836,5040775635099147 %N A383139 a(n) = Sum_{k=0..n} k^5 * 2^(n-k) * binomial(n,k). %F A383139 a(n) = 3^(n-5) * n * (-30 + 10*n + 80*n^2 + 20*n^3 + n^4). %o A383139 (PARI) a(n) = 3^(n-5)*n*(-30+10*n+80*n^2+20*n^3+n^4); %Y A383139 Cf. A027471, A383136, A383137, A383138. %K A383139 nonn,easy %O A383139 0,3 %A A383139 _Seiichi Manyama_, Apr 17 2025