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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

Peter J. C. Moses, Table of n, a(n) for n = 0..9999

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

Cf. A000045, A078414, A214094, A214156, A216231, A216275, A216835.

Sequence in context: A176195 A231233 A174562 * A069227 A117368 A137826

Adjacent sequences:  A224379 A224380 A224381 * A224383 A224384 A224385

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Apr 05 2013

STATUS

approved

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Last modified April 8 08:54 EDT 2020. Contains 333313 sequences. (Running on oeis4.)