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

1,2

Links

Table of n, a(n) for n=1..50.

Formula

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

Mathematica

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

Crossrefs

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

Sequence in context: A310754 A310755 A310756 * A269132 A310757 A231603

Adjacent sequences: A057051 A057052 A057053 * A057055 A057056 A057057

Keyword

nonn

Author

Clark Kimberling, Jul 30 2000

Status

approved