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

1,1

Comments

Column 4 of A255604.

Links

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

Formula

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

Mathematica

Table[IntegerPart[(6*n^2/(4*Tan[Pi/6]))], {n, 50}] (* Michael De Vlieger, Mar 18 2015 *)

Prog

(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

Crossrefs

Cf. A104956, A255604.

Sequence in context: A333703 A120548 A284360 * A293403 A316451 A120845

Adjacent sequences: A255603 A255604 A255605 * A255607 A255608 A255609

Keyword

nonn

Author

Kival Ngaokrajang, Feb 27 2015

Status

approved