OFFSET
1,1
COMMENTS
The lower and upper Wythoff sequences, A and B, satisfy the complementary equation ABB=2A+3B.
LINKS
Clark Kimberling, Complementary equations and Wythoff Sequences, Journal of Integer Sequences, 11 (2008) Article 08.3.3.
FORMULA
PROG
(Python)
from sympy import floor
from mpmath import phi
def A(n): return floor(n*phi)
def B(n): return floor(n*phi**2)
def a(n): return A(B(B(n))) # Indranil Ghosh, Jun 10 2017
(Python)
from math import isqrt
def A134862(n): return 5*(n+isqrt(5*n**2)>>1)+3*n # Chai Wah Wu, Aug 10 2022
CROSSREFS
Cf. A000201, A001950, A003622, A003623, A035336, A101864, A134859, A035337, A134860, A134861, A134863, A035338, A134864, A035513.
KEYWORD
nonn
AUTHOR
Clark Kimberling, Nov 14 2007
STATUS
editing