A088543 Decimal expansion of sqrt(15)/2.

1, 9, 3, 6, 4, 9, 1, 6, 7, 3, 1, 0, 3, 7, 0, 8, 4, 4, 2, 5, 8, 9, 6, 3, 2, 6, 9, 9, 8, 9, 1, 1, 9, 9, 8, 0, 5, 4, 1, 6, 4, 6, 0, 8, 5, 2, 6, 4, 5, 7, 9, 5, 4, 1, 3, 2, 9, 3, 7, 8, 6, 8, 8, 3, 0, 5, 6, 7, 4, 1, 5, 4, 5, 9, 6, 8, 4, 8, 9, 5, 1, 6, 7, 5, 9, 6, 4, 3, 6, 8, 8, 4, 2, 9, 3, 3, 6, 7, 5, 8, 9, 5, 8, 1, 5

Offset

1,2

Comments

This is the ratio of the base of an isosceles triangle to its height when the other two sides are each equal to twice the base.

Exradius opposite the side of length 3 of the obtuse scalene triangle with sides of lengths 2, 3 and 4, the scalene triangle with least integer side lengths. See formulas in the Weisstein link. - Rick L. Shepherd, May 14 2008

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Exradius.

Index entries for algebraic numbers, degree 2

Formula

sqrt(15)/2 = A010472/2 = A140249/3. - Rick L. Shepherd, May 14 2008

Example

1.93649167310370844258963269989119980541646085264579541329378688305674154596...

Mathematica

First[RealDigits[Sqrt[15]/2, 10, 100]] (* Paolo Xausa, Jun 18 2024 *)

Crossrefs

Cf. A010527.

Cf. A140239, A140246, A140247, A140248, A140249, A010472.

Sequence in context: A169849 A182547 A019737 * A256854 A182552 A021985

Adjacent sequences: A088540 A088541 A088542 * A088544 A088545 A088546

Keyword

cons,nonn

Author

Christopher M. Tomaszewski (cmt1288(AT)comcast.net), Nov 16 2003

Extensions

More terms from Rick L. Shepherd, May 14 2008

Status

approved