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 A379994 #11 Jan 08 2025 05:47:18
%S A379994 1,5,37,349,3969,52641,796069,13502693,253667297,5225690017,
%T A379994 117090480021,2834363683317,73697918467105,2048252470006913,
%U A379994 60587779740857573,1900347489736371301,62992469337321611073,2200238756416513719489,80765631192992760237205
%N A379994 Expansion of e.g.f. exp(-3*x)/(exp(-x) - x)^4.
%F A379994 a(n) = n! * Sum_{k=0..n} (k+1)^(n-k) * binomial(k+3,3)/(n-k)!.
%F A379994 a(n) == 1 (mod 4).
%o A379994 (PARI) a(n) = n!*sum(k=0, n, (k+1)^(n-k)*binomial(k+3, 3)/(n-k)!);
%Y A379994 Cf. A379943, A379993, A379995, A379996.
%K A379994 nonn,easy
%O A379994 0,2
%A A379994 _Seiichi Manyama_, Jan 07 2025