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A151774 Characteristic function of numbers with binary weight 2 (A018900). +0
4
0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,1

COMMENT

a(A018900(n)) = 1; a(A161989(n)) = 0. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 24 2009]

LINKS

R. Zumkeller, Table of n, a(n) for n = 0..10000 [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 24 2009]

Index entries for characteristic functions [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 24 2009]

FORMULA

Let Theta = Sum_{k >= 0} x^(2^k). G.f. is (x + Theta^2 - Theta)/2 (cf. A151758).

CROSSREFS

Cf, A000120, A018900, A151758.

Sequence in context: A099618 A106002 A066247 this_sequence A095792 A093385 A135136

Adjacent sequences: A151771 A151772 A151773 this_sequence A151775 A151776 A151777

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 23 2009

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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