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A000049 Number of positive integers <= 2^n of form 3 x^2 + 4 y^2.
(Formerly M0714 N0264)
1
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; refs; listen; history; internal format)
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: A000691 A192804 A103285 * A000050 A050253 A198518

Adjacent sequences:  A000046 A000047 A000048 * A000050 A000051 A000052

KEYWORD

nonn

AUTHOR

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

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Last modified February 12 15:45 EST 2012. Contains 205431 sequences.