OFFSET
0,1
COMMENTS
2nd column of array in A038150.
Apart from the first term also the second column of A126714; see also A223025. - Casey Mongoven, Mar 11 2013
REFERENCES
Clark Kimberling, Stolarsky interspersions, Ars Combinatoria 39 (1995), 129-138.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
A. S. Fraenkel, Recent results and questions in combinatorial game complexities, Theoretical Computer Science, vol. 249, no. 2 (2000), 265-288.
A. S. Fraenkel, Arrays, numeration systems and Frankenstein games, Theoret. Comput. Sci. 282 (2002), 271-284; preprint.
Clark Kimberling, The first column of an interspersion, The Fibonacci Quarterly 32 (1994), 301-315.
MAPLE
MATHEMATICA
A[n_] := Floor[n*GoldenRatio]; B[n_] := Floor[n*GoldenRatio^2]; a[n_] := B[A[n]+1]+1; Table[a[n], {n, 0, 56}] (* Jean-François Alcover, Feb 11 2014 *)
PROG
(Python)
from mpmath import *
mp.dps=100
import math
def A(n): return int(math.floor(n*phi))
def B(n): return int(math.floor(n*phi**2))
def a(n): return B(A(n) + 1) + 1 # Indranil Ghosh, Apr 25 2017
(Python)
from math import isqrt
def A047924(n): return ((m:=(n+isqrt(5*n**2)>>1)+1)+isqrt(5*m**2)>>1)+m+1 # Chai Wah Wu, Aug 25 2022
CROSSREFS
KEYWORD
nonn,nice,easy
AUTHOR
EXTENSIONS
More terms from Naohiro Nomoto, Jun 08 2001
New description from Aviezri S. Fraenkel, Aug 03 2007
STATUS
approved