A182767 Beatty sequence for 1+e^2.

8, 16, 25, 33, 41, 50, 58, 67, 75, 83, 92, 100, 109, 117, 125, 134, 142, 151, 159, 167, 176, 184, 192, 201, 209, 218, 226, 234, 243, 251, 260, 268, 276, 285, 293, 302, 310, 318, 327, 335, 343, 352, 360, 369, 377, 385, 394, 402, 411, 419, 427

Offset

1,1

Comments

Let u=e=A001113 and v=1/e=A068985. Jointly rank {j*u} and {k*v} as in the first comment at A182760; a(n) is the position of n*u.

Links

Table of n, a(n) for n=1..51.

Formula

a(n)=floor(n*(1+e^2)) = floor(n+n*A072334).

Maple

A182767 := proc(n) floor(n*(1+exp(2))) ; end proc:

Crossrefs

Cf. A182760, A182768.

Sequence in context: A028589 A292491 A331294 * A302537 A074750 A190519

Adjacent sequences: A182764 A182765 A182766 * A182768 A182769 A182770

Keyword

nonn

Author

Clark Kimberling, Nov 29 2010

Status

approved