A057054 Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; n^3 is in antidiagonal a(n).

1, 4, 7, 11, 16, 21, 26, 32, 38, 45, 52, 59, 66, 74, 82, 91, 99, 108, 117, 126, 136, 146, 156, 166, 177, 187, 198, 210, 221, 232, 244, 256, 268, 280, 293, 305, 318, 331, 344, 358, 371, 385, 399, 413, 427, 441, 456, 470, 485, 500

Offset: 1

Author

Clark Kimberling, Jul 30 2000

Keywords

• nonn

Crossrefs

Cf. A057045, A057062, A057048, A022846, A057057.

Programs

Mathematica

Table[Round[n Sqrt[2n]],{n,50}] (* Harvey P. Dale, Feb 10 2020 *)

Formula

Round(n*(sqrt(2*n))). - Vladeta Jovovic, Jun 14 2003