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%I #12 Sep 26 2024 06:49:58
%S 1,1,2,11,113,1472,21375,330905,5348380,89188027,1522999490,
%T 26497322726,468008534344,8369663126451,151250089239576,
%U 2757670822707609,50665739960395844,937090326420476362,17433799590092921578,326028128575350241133,6125291348509146395197
%N 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 Vaclav Kotesovec, <a href="/A376447/a376447.txt">Recurrence of order 8</a>.
%t 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 Cf. A000108 (m=1), A098746 (m=2), A130458 (m=3), A186182 (m=4), A186183 (m=5), A186184 (m=6).
%K nonn
%O 0,3
%A _Vaclav Kotesovec_, Sep 23 2024, following a suggestion from _Mikhail Kurkov_