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A346939 a(n) = Sum_{d|n} mu(n/d) * binomial(8*d,d) / (7*d+1). 4

%I #4 Aug 08 2021 08:37:42

%S 1,7,91,1232,18277,285285,4638347,77650784,1329890613,23190011435,

%T 410333440535,7349042707872,132969010888279,2426870701777445,

%U 44627576949345735,826044435331747776,15378186970730687399,287756293702214647875,5409093674555090316299,102094541350713952736608

%N a(n) = Sum_{d|n} mu(n/d) * binomial(8*d,d) / (7*d+1).

%C Moebius transform of A007556.

%t Table[Sum[MoebiusMu[n/d] Binomial[8 d, d]/(7 d + 1), {d, Divisors[n]}], {n, 20}]

%Y Cf. A002996, A007556, A008683, A346925, A346935, A346936, A346937, A346938.

%K nonn

%O 1,2

%A _Ilya Gutkovskiy_, Aug 08 2021

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Last modified May 1 02:07 EDT 2024. Contains 372143 sequences. (Running on oeis4.)