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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.
1
1, 1, 2, 11, 113, 1472, 21375, 330905, 5348380, 89188027, 1522999490, 26497322726, 468008534344, 8369663126451, 151250089239576, 2757670822707609, 50665739960395844, 937090326420476362, 17433799590092921578, 326028128575350241133, 6125291348509146395197
OFFSET
0,3
MATHEMATICA
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}]]]
CROSSREFS
Cf. A000108 (m=1), A098746 (m=2), A130458 (m=3), A186182 (m=4), A186183 (m=5), A186184 (m=6).
Sequence in context: A205073 A069574 A090534 * A371697 A373795 A286869
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Sep 23 2024, following a suggestion from Mikhail Kurkov
STATUS
approved