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A134861 Wythoff BAA numbers. 10
2, 10, 15, 23, 31, 36, 44, 49, 57, 65, 70, 78, 86, 91, 99, 104, 112, 120, 125, 133, 138, 146, 154, 159, 167, 175, 180, 188, 193, 201, 209, 214, 222, 230, 235, 243, 248, 256, 264, 269, 277, 282, 290, 298, 303, 311, 319, 324, 332, 337, 345, 353, 358, 366, 371 (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 BAA=A+2B-3.

LINKS

Table of n, a(n) for n=1..55.

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

FORMULA

a(n) = B(A(A(n))), n>=1, with A=A000201, the lower Wythoff sequence and B=A001950, the upper Wythoff sequence.

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 B(A(A(n))) # Indranil Ghosh, Jun 10 2017

CROSSREFS

Cf. A000201, A001950, A003622, A003623, A035336, A101864, A134859, A035337, A134860, A134862, A134863, A035338, A134864, 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: A031222 A272041 A212160 * A063610 A181474 A047187

Adjacent sequences:  A134858 A134859 A134860 * A134862 A134863 A134864

KEYWORD

nonn

AUTHOR

Clark Kimberling, Nov 14 2007

STATUS

approved

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Last modified February 23 03:40 EST 2018. Contains 299473 sequences. (Running on oeis4.)