A393474 Row sums of A393016.

8, 96, 342, 2432, 5290, 12312, 30576, 75264, 97848, 182760, 323070, 399456, 779090, 1047424, 1052280, 2398208, 3068024, 3009312, 5339190, 5892000, 6178410, 10670264, 14117952, 12804480, 18601000, 25062024, 23279886, 33793536, 46101938, 31808160, 64117920, 76701696, 61445736

Offset

1,1

Comments

The sequence appears to grow on the order of n^4.

All terms are even.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

T[n_, k_]:=Numerator[(8 n^3 k)/(k^2+4 n^2)]; a[n_]:=Sum[T[n, k], {k, 1, n}]; Table[a[n], {n, 1, 30}]

Prog

(Magma) a := function(n) return &+[Numerator((8*n^3*k)/(k^2+4*n^2)) : k in [1..n]]; end function; [a(n) : n in [1..35]];

Crossrefs

Cf. A393016.

Sequence in context: A121785 A305587 A229294 * A241813 A116144 A074114

Adjacent sequences: A393471 A393472 A393473 * A393475 A393476 A393477

Keyword

nonn

Author

Vincenzo Librandi, Feb 16 2026

Status

approved