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A343514 a(n) = Sum_{k=1..n} (k/gcd(n, k))^4. 2

%I

%S 1,2,18,84,355,645,2276,3192,7413,9400,25334,18395,60711,52747,88760,

%T 106688,243849,137790,432346,275570,499867,522513,1151404,561415,

%U 1542125,1214436,1907502,1569673,3756719,1344999,5274000,3451216,4970577,4690778,7499154,4217504,12948595,8207261,11565572

%N a(n) = Sum_{k=1..n} (k/gcd(n, k))^4.

%F a(n) = Sum_{d|n} A053820(d).

%t Table[Sum[(k/GCD[n, k])^4, {k, 1, n}], {n, 1, 39}]

%o (PARI) a(n) = sum(k=1, n, (k/gcd(n, k))^4); \\ _Michel Marcus_, Apr 17 2021

%Y Cf. A053820, A057661, A332654, A343498, A343513.

%K nonn

%O 1,2

%A _Ilya Gutkovskiy_, Apr 17 2021

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Last modified August 4 14:53 EDT 2021. Contains 346447 sequences. (Running on oeis4.)