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A224382 Fibonacci-like numbers without positive multiples of 4: a(0) = 0, a(1) = 1, for n>=2, a(n) = a(n-1) + a(n-2) divided by maximal possible power of 4. 5
0, 1, 1, 2, 3, 5, 2, 7, 9, 1, 10, 11, 21, 2, 23, 25, 3, 7, 10, 17, 27, 11, 38, 49, 87, 34, 121, 155, 69, 14, 83, 97, 45, 142, 187, 329, 129, 458, 587, 1045, 102, 1147, 1249, 599, 462, 1061, 1523, 646, 2169, 2815, 1246, 4061, 5307, 2342, 7649, 9991, 4410 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
B. Avila and T. Khovanova, Free Fibonacci Sequences, arXiv preprint arXiv:1403.4614, 2014 and J. Int. Seq. 17 (2014) # 14.8.5
MATHEMATICA
a[0]:=0; a[1]:=1; a[n_]:=a[n]=#/4^IntegerExponent[#, 4]&[(a[n-1]+a[n-2])]; Map[a, Range[0, 99]] (* Peter J. C. Moses, Apr 05 2013 *)
CROSSREFS
Sequence in context: A176195 A231233 A174562 * A069227 A117368 A355091
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Apr 05 2013
STATUS
approved

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Last modified June 17 15:57 EDT 2024. Contains 373463 sequences. (Running on oeis4.)