A343947 Surface area to volume ratio of a right prism with unit height and whose base is a regular n-gon with side length 1 (rounded to the nearest integer).

9, 6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset

3,1

Links

Table of n, a(n) for n=3..95.

Formula

a(n) = round((4 + 2*cot(Pi/n))/cot(Pi/n)).

Mathematica

Table[Round[(4 + 2 Cot[Pi/n])/Cot[Pi/n]], {n, 3, 100}]

Crossrefs

Cf. A064313, A134030, A343946.

Sequence in context: A196772 A225406 A347330 * A367709 A247040 A019942

Adjacent sequences: A343944 A343945 A343946 * A343948 A343949 A343950

Keyword

nonn

Author

Wesley Ivan Hurt, May 04 2021

Status

approved