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A000049 Number of positive integers <= 2^n of form 3 x^2 + 4 y^2.
(Formerly M0714 N0264)
+0
2
0, 0, 2, 3, 5, 9, 16, 29, 53, 98, 181, 341, 640, 1218, 2321, 4449, 8546, 16482, 31845, 61707, 119760, 232865, 453511, 884493, 1727125, 3376376, 6607207, 12941838, 25371086, 49776945, 97730393, 192009517, 377473965, 742511438, 1461351029, 2877568839, 5668961811 (list; graph; listen)
OFFSET

0,3

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Index entries for sequences related to populations of quadratic forms

CROSSREFS

Sequence in context: A022857 A000691 A103285 this_sequence A000050 A050253 A107250

Adjacent sequences: A000046 A000047 A000048 this_sequence A000050 A000051 A000052

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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