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%I #7 Jul 25 2021 02:41:14
%S 1,4,30,240,2125,19776,192129,1922496,19692504,205444500,2175519379,
%T 23322637440,252631900235,2760767859780,30400169155500,
%U 336977763170048,3757141504436392,42107201575798248,474084628585822412,5359833703935374000,60823006052351537106,692556314455384443196
%N a(n) = (1/(5*n)) * Sum_{d|n} mu(n/d) * binomial(5*d,d).
%C Inverse Euler transform of A002294.
%C Moebius transform of A261498.
%t Table[(1/(5 n)) Sum[MoebiusMu[n/d] Binomial[5 d, d], {d, Divisors[n]}], {n, 22}]
%o (PARI) a(n) = sumdiv(n, d, moebius(n/d)*binomial(5*d,d))/(5*n); \\ _Michel Marcus_, Jul 24 2021
%Y Cf. A001449, A002294, A008683, A022553, A261498, A346577, A346578, A346580, A346581, A346582.
%K nonn
%O 1,2
%A _Ilya Gutkovskiy_, Jul 24 2021
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