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A037809 Number of i such that d(i)>=d(i-1), where Sum{d(i)*2^i: i=0,1,...,m} is the base 2 representation of n. +0
1
0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 3, 4, 4, 4, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 4, 4, 3 (list; graph; listen)
OFFSET

1,7

LINKS

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

R. Stephan, Table of generating functions

FORMULA

G.f. -1/(1-x) + 1/(1-x) * sum(k>=0, (t+t^3+t^4)/(1+t+t^2+t^3), t=x^2^k). a(n) = A056973(n) + A000120(n) - 1. a(n) = b(n)-1, with b(0)=0, b(2n)=b(n)+[n even], b(2n+1)=b(n)+1. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 05 2003

CROSSREFS

Sequence in context: A032539 A122922 A046799 this_sequence A097195 A129451 A008334

Adjacent sequences: A037806 A037807 A037808 this_sequence A037810 A037811 A037812

KEYWORD

nonn,base

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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