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A056973 Number of blocks of {0,0} in the binary expansion of n. +0
5
0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 4, 3, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 5, 4, 3, 3, 3, 2, 2, 2, 3, 2, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 4, 3, 2, 2, 2, 1, 1 (list; graph; listen)
OFFSET

1,8

LINKS

R. Stephan, Some divide-and-conquer sequences ...

R. Stephan, Table of generating functions

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

a(2n) = a(n) + [n is even], a(2n+1) = a(n).

G.f.: 1/(1-x) * sum(k>=0, t^4/(1+t)/(1+t^2), t=x^2^k). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 10 2003

a(n) = A023416(n) - A033264(n). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 10 2003

CROSSREFS

Cf. A014081, A033264, A037800.

Sequence in context: A066301 A046660 A108730 this_sequence A107782 A086017 A000161

Adjacent sequences: A056970 A056971 A056972 this_sequence A056974 A056975 A056976

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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