A255606 Integer part of the area of a hexagon with side length n.

2, 10, 23, 41, 64, 93, 127, 166, 210, 259, 314, 374, 439, 509, 584, 665, 750, 841, 937, 1039, 1145, 1257, 1374, 1496, 1623, 1756, 1893, 2036, 2184, 2338, 2496, 2660, 2829, 3003, 3182, 3367, 3556, 3751, 3951, 4156, 4367, 4583, 4803, 5029, 5261, 5497, 5739, 5985, 6237, 6495

Offset: 1

Author

Kival Ngaokrajang, Feb 27 2015

Keywords

• nonn
• changed

Comments

Column 4 of A255604.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A104956, A255604.

Programs

Mathematica

Table[IntegerPart[(6*n^2/(4*Tan[Pi/6]))], {n, 50}] (* Michael De Vlieger, Mar 18 2015 *)
Floor[3/2 Sqrt[3] Range[50]^2] (* Harvey P. Dale, Aug 25 2025 *)

PARI

{for(n=1,100,a=floor(6*n^2/(4*tan(Pi/6)));print1(a,", "))}

PARI

a(n) = sqrtint(27*n^4)>>1; \\ Kevin Ryde, May 07 2021

Formula

a(n) = floor(6*n^2/(4*tan(Pi/6))), n >= 1.