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A000205 Number of positive integers <= 2^n of form x^2 + 3 y^2.
(Formerly M2350 N0928)
+0
1
1, 1, 3, 4, 8, 14, 25, 45, 82, 151, 282, 531, 1003, 1907, 3645, 6993, 13456, 25978, 50248, 97446, 189291, 368338, 717804, 1400699, 2736534, 5352182, 10478044, 20531668, 40264582, 79022464, 155196838, 304997408, 599752463, 1180027022, 2322950591, 4575114295 (list; graph; listen)
OFFSET

0,3

REFERENCES

P. Moree and H. J. J. te Riele, The hexagonal versus the square lattice, Math. Comp. 73 (2004), no. 245, 451-473.

D. Shanks and L. P. Schmid, Variations on a theorem of Landau. Part I, Math. Comp., 20 (1966), 551-569.

LINKS

P. Moree and H. J. J. te Riele, The hexagonal versus the square lattice

Index entries for sequences related to populations of quadratic forms

CROSSREFS

Cf. A000050.

Adjacent sequences: A000202 A000203 A000204 this_sequence A000206 A000207 A000208

Sequence in context: A051788 A023623 A023558 this_sequence A136425 A005907 A049866

KEYWORD

nonn

AUTHOR

njas

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Last modified May 17 13:36 EDT 2008. Contains 139908 sequences.


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