A342449
a(n) = Sum_{k=1..n} gcd(k,n)^k.
Original entry on oeis.org
1, 5, 29, 262, 3129, 46705, 823549, 16777544, 387421251, 10000003469, 285311670621, 8916100581446, 302875106592265, 11112006826387025, 437893890391180013, 18446744073743123788, 827240261886336764193, 39346408075299116257065
Offset: 1
-
a[n_] := Sum[GCD[k, n]^k, {k, 1, n}]; Array[a, 20] (* Amiram Eldar, Mar 13 2021 *)
-
a(n) = sum(k=1, n, gcd(k, n)^k);
A342394
a(n) = Sum_{k=1..n} k^(gcd(k,n) - 1).
Original entry on oeis.org
1, 3, 11, 68, 629, 7793, 117655, 2097228, 43046772, 1000000649, 25937424611, 743008379146, 23298085122493, 793714773371841, 29192926025401528, 1152921504608945960, 48661191875666868497, 2185911559738739835591, 104127350297911241532859
Offset: 1
-
a[n_] := Sum[k^(GCD[k, n] - 1), {k, 1, n}]; Array[a, 19] (* Amiram Eldar, Mar 10 2021 *)
-
a(n) = sum(k=1, n, k^(gcd(k, n)-1));
A342395
a(n) = Sum_{k=1..n} k^(n/gcd(k,n)).
Original entry on oeis.org
1, 3, 12, 90, 1305, 15713, 376768, 6163324, 176787369, 3769360335, 142364319636, 3152514811878, 154718778284161, 4340009168261557, 210971169749009040, 7281661102087491416, 435659030617933827153, 14181101408651996188995
Offset: 1
-
a[n_] := Sum[k^(n/GCD[k, n]), {k, 1, n}]; Array[a, 18] (* Amiram Eldar, Mar 10 2021 *)
-
a(n) = sum(k=1, n, k^(n/gcd(k, n)));
Showing 1-3 of 3 results.