A329791 a(n) = floor(sqrt(2)*n) + floor(sqrt(3)*n).

0, 2, 5, 9, 11, 15, 18, 21, 24, 27, 31, 34, 36, 40, 43, 46, 49, 53, 56, 58, 62, 65, 69, 71, 74, 78, 81, 84, 87, 91, 93, 96, 100, 103, 106, 109, 112, 116, 118, 122, 125, 128, 131, 134, 138, 140, 144, 147, 150, 153, 156, 160, 163, 165, 169, 172, 175, 178, 182

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Vitaly Bergelson and Joseph Vandehey, A hot spot proof of the generalized Wall theorem, Amer. Math. Monthly, 126:10, 876-890, Dec. 2019. See page 879.

Formula

a(n) = A001951(n) + A022838(n). - Michel Marcus, Apr 19 2023

Mathematica

Table[Floor[Sqrt[2]n]+Floor[Sqrt[3]n], {n, 0, 80}] (* Harvey P. Dale, Mar 29 2021 *)

Prog

(PARI) a(n) = sqrtint(2*n^2) + sqrtint(3*n^2); \\ Michel Marcus, Apr 19 2023

Crossrefs

Cf. A001951, A022838.

Sequence in context: A190369 A067568 A190329 * A189522 A210510 A050904

Adjacent sequences: A329788 A329789 A329790 * A329792 A329793 A329794

Keyword

nonn

Author

N. J. A. Sloane, Dec 03 2019

Status

approved