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%I #7 May 17 2024 09:51:13
%S 1,7,53,736,6249,185039,1647085,66912256,1162222101,39980466703,
%T 570623341221,53487845236736,605750213184505,44446670856053599,
%U 1751575500459583437,92232594468640915456,1654480523772673528353,236077997761634282622495
%N a(n) = Sum_{1 <= x_1, x_2, ... , x_n <= n} gcd(x_1, x_2, ... , x_n, n)^n.
%F a(n) = Sum_{d|n} mu(n/d) * d^n * tau(d), where mu is the Moebius function A008683.
%o (PARI) a(n) = sumdiv(n, d, moebius(n/d)*d^n*numdiv(d));
%Y Main diagonal of A372938.
%Y Cf. A000005, A008683.
%K nonn
%O 1,2
%A _Seiichi Manyama_, May 17 2024
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