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A033683 1 iff n is odd square not divisible by 3. +0
2
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,1

COMMENT

Multiplicative with a(p^e) = 1 if 2 divides e and p > 3, 0 otherwise. Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 09, 2005.

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 105, Eq. (41).

FORMULA

Essentially the series psi_6(z)=(1/2)(theta_2(z/9)-theta_2(z)).

Euler transform of period 144 sequence. - Michael Somos Jan 26 2008

EXAMPLE

q + q^25 + q^49 + q^121 + q^169 + q^289 + q^361 + q^529 + q^625 + ...

PROGRAM

(PARI) {a(n) = if( n%24 == 1, issquare(n), 0)} /* Michael Somos Jan 26 2008 */

CROSSREFS

A080995(n) = a(24n+1).

Sequence in context: A104121 A063524 A084928 this_sequence A130638 A030217 A030215

Adjacent sequences: A033680 A033681 A033682 this_sequence A033684 A033685 A033686

KEYWORD

nonn,mult

AUTHOR

njas

page 1

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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