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 A381066 #10 Feb 13 2025 02:25:52 %S A381066 0,0,0,0,1,5,40,315,2779,26817,282785,3240325,40144126,535152332, %T A381066 7642713715,116465389950,1886911421914,32395513943998,587627463812070, %U A381066 11231176543495238,225621300685737631,4753177896741075823,104793882332694641218,2413274241933067193021 %N A381066 Expansion of e.g.f. log(1-x)^4 * exp(-x) / 24. %F A381066 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k,4)|. %o A381066 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k, 4, 1))); %Y A381066 Column k=4 of A269953. %Y A381066 Cf. A381023, A381068. %K A381066 nonn %O A381066 0,6 %A A381066 _Seiichi Manyama_, Feb 12 2025