A101867 Main diagonal of A101866.

5, 20, 34, 65, 106, 136, 193, 233, 306, 389, 445, 544, 653, 725, 850, 932, 1073, 1224, 1322, 1489, 1597, 1780, 1973, 2097, 2306, 2525, 2665, 2900, 3050, 3301, 3562, 3728, 4005, 4292, 4474, 4777, 4969, 5288, 5617, 5825, 6170, 6388, 6749, 7120, 7354, 7741, 8138

Offset: 1

Author

N. J. A. Sloane, Jan 28 2005

Keywords

• nonn

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001622, A101866.

Programs

Mathematica

Array[#^2 + Ceiling[#*GoldenRatio]^2 &, 100] (* Paolo Xausa, Mar 20 2024 *)

Formula

a(n) = n^2 + ceiling(n*(1 + sqrt(5))/2)^2. - Paolo Xausa, Mar 20 2024