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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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 4 of A255604.

LINKS

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

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 *)

Floor[3/2 Sqrt[3] Range[50]^2] (* Harvey P. Dale, Aug 25 2025 *)