A057672 -id:A057672 - cp's OEIS frontend

A057671 a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.

0, 3, 12, 30, 59, 102, 163, 243, 347, 476, 634, 823, 1046, 1307, 1607, 1951, 2340, 2778, 3267, 3811, 4411, 5072, 5796, 6585, 7443, 8373, 9377, 10457, 11618, 12862, 14192, 15610, 17120, 18724, 20425, 22226, 24131

Offset: 1

seiringer.flor(AT)eudoramail.com, Oct 18 2000

nonn

			a(7)=163 because 163=floor(7^3*(1-Pi/6)).

Cf. A057672.

Table[Floor[n^3 (1-\[Pi]/6)],{n,40}]  (* Harvey P. Dale, Apr 24 2011 *)

a(n) = floor(n^3*(1-Pi/6)).

Edited by James Sellers, Oct 20 2000

A235532 a(n) = floor(n^2 * (4-Pi)).

Original entry on oeis.org

0, 0, 3, 7, 13, 21, 30, 42, 54, 69, 85, 103, 123, 145, 168, 193, 219, 248, 278, 309, 343, 378, 415, 454, 494, 536, 580, 625, 672, 721, 772, 824, 879, 934, 992, 1051, 1112, 1175, 1239, 1305, 1373, 1442, 1514, 1587, 1661, 1738, 1816, 1896, 1977, 2061, 2146, 2232, 2321

Offset: 0

Alex Ratushnyak, Jan 11 2014

nonn

a(n) = floor(As(n) - Ac(n)), where Ac(n) is the area of the circle of radius n, and As(n) is the area of square with side length 2n.

Cf. A066643, A057672, A000290.

Floor[(4-Pi)#^2]&/@Range[0,60] (* Harvey P. Dale, Jan 10 2020 *)

import math
for n in range(77): print(str(int(n*n*(4-math.pi))), end=',')

cp's OEIS Frontend

A057671 a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.

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