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 A376447 #12 Sep 26 2024 06:49:58 %S A376447 1,1,2,11,113,1472,21375,330905,5348380,89188027,1522999490, %T A376447 26497322726,468008534344,8369663126451,151250089239576, %U A376447 2757670822707609,50665739960395844,937090326420476362,17433799590092921578,326028128575350241133,6125291348509146395197 %N A376447 a(n) = Sum_{k=1..n} binomial(n*(m+1)-m*k-1, n-k)*k/(n*m-(m-1)*k), for m=7. %H A376447 Vaclav Kotesovec, <a href="/A376447/a376447.txt">Recurrence of order 8</a>. %t A376447 Join[{1}, With[{m=7}, Table[Sum[Binomial[n*(m+1)-m*k-1, n-k]*k/(n*m-(m-1)*k), {k, 1, n}], {n, 1, 20}]]] %Y A376447 Cf. A000108 (m=1), A098746 (m=2), A130458 (m=3), A186182 (m=4), A186183 (m=5), A186184 (m=6). %K A376447 nonn %O A376447 0,3 %A A376447 _Vaclav Kotesovec_, Sep 23 2024, following a suggestion from _Mikhail Kurkov_