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A160382 Number of 2's in base 4 representation of n. 2
0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Table of n, a(n) for n=0..104.

F. T. Adams-Waters, F. Ruskey, Generating Functions for the Digital Sum and Other Digit Counting Sequences, JIS 12 (2009) 09.5.6

FORMULA

Recurrence relation: a(0) = 0, a(4m+2) = 1+a(m), a(4m) = a(4m+1) = a(4m+3) = a(m).

Generating function: 1/(1-z) * SUM( z^(2*4^m)*(1 - z^(4^m) )/( 1 - z^(4^(m+1)) ), m >= 0 ).

Morphism: 0, j -> j,j,j+1,j; e.g., 0 -> 0010 -> 0010110111210010 -> ...

CROSSREFS

Sequence in context: A025435 A304685 A186714 * A081221 A280827 A103840

Adjacent sequences:  A160379 A160380 A160381 * A160383 A160384 A160385

KEYWORD

nonn,base,easy

AUTHOR

Frank Ruskey, Jun 05 2009

STATUS

approved

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Last modified January 20 14:02 EST 2020. Contains 331094 sequences. (Running on oeis4.)