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A229047 Replace all '11' => '101' in the binary representation of n, treat the result as representation of a(n) in base of Fibonacci numbers (A014417). 0
0, 1, 2, 4, 3, 4, 7, 12, 5, 6, 7, 12, 11, 12, 20, 33, 8, 9, 10, 17, 11, 12, 20, 33, 18, 19, 20, 33, 32, 33, 54, 88, 13, 14, 15, 25, 16, 17, 28, 46, 18, 19, 20, 33, 32, 33, 54, 88, 29, 30, 31, 51, 32, 33, 54, 88, 52, 53, 54, 88, 87, 88, 143, 232, 21, 22, 23, 38, 24, 25, 41 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Index of r in A014417, where r = ReplaceAll('11' -> '101' in bin(n)).

LINKS

Table of n, a(n) for n=0..70.

EXAMPLE

Base 2 representation of 14 is 1110, that is 101010 after the replacement, that is A014417(20), so a(14)=20.

PROG

(Python)

fib = [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597]

for n in range(333):

  res = 0

  bit = resbit = 1

  while bit<=n:

    if n&bit:  res += resbit

    resbit*=2

    if (n&bit) and (n&(bit*2)):  resbit*=2

    bit*=2

  #print bin(n), bin(res),

  an = i = 0

  while res:

    if res&1:  an += fib[2+i]

    i += 1

    res >>= 1

  print an,

CROSSREFS

Cf. A014417, A000045.

Sequence in context: A178151 A087794 A050514 * A133702 A080001 A178938

Adjacent sequences:  A229044 A229045 A229046 * A229048 A229049 A229050

KEYWORD

nonn,base

AUTHOR

Alex Ratushnyak, Sep 25 2013

STATUS

approved

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Last modified May 19 12:46 EDT 2019. Contains 323393 sequences. (Running on oeis4.)