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A134864 Wythoff BBB numbers. 11
13, 34, 47, 68, 89, 102, 123, 136, 157, 178, 191, 212, 233, 246, 267, 280, 301, 322, 335, 356, 369, 390, 411, 424, 445, 466, 479, 500, 513, 534, 555, 568, 589, 610, 623, 644, 657, 678, 699, 712, 733, 746, 767, 788, 801, 822, 843, 856, 877, 890, 911, 932, 945 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The lower and upper Wythoff sequences, A and B, satisfy the complementary equation BBB=3A+5B.

LINKS

Table of n, a(n) for n=1..53.

Clark Kimberling, Complementary equations and Wythoff Sequences, Journal of Integer Sequences 11 (2008) Article 08.3.3.

FORMULA

a(n) = B(B(B(n))), n>=1, with B=A001950, the upper Wythoff sequence.

PROG

(Python)

from sympy import floor

from mpmath import phi

def B(n): return floor(n*phi**2)

def a(n): return B(B(B(n))) # Indranil Ghosh, Jun 10 2017

CROSSREFS

Cf. A000201, A001950, A003622, A003623, A035336, A101864, A134859, A035337, A134860, A134861, A134862, A035338, A134863, A035513.

Let A = A000201, B = A001950. Then AA = A003622, AB = A003623, BA = A035336, BB = A101864. The eight triples AAA, AAB, ..., BBB are A134859, A134860, A035337, A134862, A134861, A134863, A035338, A134864, resp.

Sequence in context: A124659 A164539 A245170 * A093100 A292472 A081271

Adjacent sequences:  A134861 A134862 A134863 * A134865 A134866 A134867

KEYWORD

nonn

AUTHOR

Clark Kimberling, Nov 14 2007

STATUS

approved

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Last modified February 19 14:22 EST 2018. Contains 299333 sequences. (Running on oeis4.)