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A166267
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Number of 1's in the binary representation of A000129(n).
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1
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0, 1, 1, 2, 2, 4, 3, 4, 4, 7, 5, 8, 6, 7, 10, 11, 10, 8, 13, 12, 12, 14, 16, 17, 11, 14, 17, 20, 16, 17, 19, 21, 23, 17, 17, 19, 24, 24, 25, 18, 29, 26, 29, 26, 26, 29, 35, 29, 26, 40, 29, 33, 33, 38, 36, 34, 28, 38, 42, 40, 37, 34, 40, 27, 45, 35, 37, 41, 40, 44, 48, 45, 41, 45
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..73.
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FORMULA
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a(n) = A000120(A000129(n)). - R. J. Mathar, Oct 28 2009
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MATHEMATICA
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Clear[a, b, c, f, n, lst] f[n_]:=Plus@@IntegerDigits[n, 2]; a=1; b=0; c=0; lst={b}; Do[c=a+b+c; AppendTo[lst, f[c]]; a=b; b=c, {n, 5!}]; lst
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PROG
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(Python)
def A000129(n):
if n <=1:
return n
else:
return 2*A000129(n-1)+A000129(n-2)
def A000120(n):
a=0
sh=n
while sh > 0:
a += sh & 1
sh >>= 1
return a
def A166267(n):
return A000120(A000129(n))
print([A166267(n) for n in range(30)])
# R. J. Mathar, Oct 18 2009
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CROSSREFS
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Sequence in context: A319397 A094950 A087874 * A117484 A086835 A046701
Adjacent sequences: A166264 A166265 A166266 * A166268 A166269 A166270
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KEYWORD
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nonn,base,easy
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, Oct 10 2009
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EXTENSIONS
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Keyword:base added by R. J. Mathar, Oct 28 2009
Offset changed to 0 by Georg Fischer, Dec 19 2020
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STATUS
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approved
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