A348052 Triangle T(j,k) of denominators of relativistically added fractional velocities w(u,v)=(u+v)/(u*v+1), with velocities enumerated by the Farey series, i.e., u(m) = v(m) = A007305(m)/A007306(m), m>=2.

5, 7, 5, 8, 11, 13, 3, 13, 14, 17, 4, 17, 19, 22, 29, 13, 9, 21, 23, 31, 17, 11, 15, 18, 19, 26, 29, 25, 11, 2, 17, 7, 9, 7, 23, 13, 16, 23, 5, 2, 13, 41, 34, 37, 53, 19, 27, 6, 7, 46, 49, 41, 43, 62, 73, 17, 3, 27, 31, 41, 11, 37, 19, 11, 13, 29, 6, 25, 29, 32, 43, 47, 40, 13, 19, 68, 61, 65

Offset

2,1

Links

Table of n, a(n) for n=2..79.

Example

See A348051.
The triangle starts:
  4/5,
  5/7,  3/5,
  7/8,  9/11, 12/13,
  2/3,  7/13, 11/14,  8/17,
  3/4, 11/17, 16/19, 13/22, 20/29
....

Crossrefs

A348051 are the corresponding numerators.

Cf. A007305, A007306, A348131, A348132.

Sequence in context: A090987 A278813 A217167 * A195498 A065746 A065478

Adjacent sequences: A348049 A348050 A348051 * A348053 A348054 A348055

Keyword

nonn,frac,tabl

Author

Hugo Pfoertner, Sep 25 2021

Status

approved