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URL: https://oeis.org/A171974

⇱ A171974 - OEIS

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A171974
Integer part of the height of a regular tetrahedron with edge length n.
6
0, 1, 2, 3, 4, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 35, 36, 37, 38, 39, 40, 40, 41, 42, 43, 44, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 53, 54, 55, 56, 57, 57, 58, 59
OFFSET
1,3
COMMENTS
-3 <= 4*A171975(n) - 3*a(n) < 3;
a(n)*A171975(n) <= A007590(n);
floor(a(n)*A171971(n)/3) <= A171973(n).
LINKS
Eric Weisstein's World of Mathematics, Tetrahedron
Wikipedia, Tetrahedron
FORMULA
a(n) = floor(n*sqrt(6)/3).
a(n) = A172476(2*n). - R. J. Mathar, Feb 06 2026
PROG
(Haskell)
a171974 = floor . (/ 3) . (* sqrt 6) . fromInteger
-- Reinhard Zumkeller, Dec 15 2012
CROSSREFS
Cf. A171972, A022840. Beatty sequence of A157697.
Sequence in context: A303787 A090223 A366870 * A232748 A308936 A187737
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Jan 20 2010
STATUS
approved