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A000286 Number of positive integers <= 2^n of form 2 x^2 + 5 y^2.
(Formerly M3251 N1312)
+0
1
0, 1, 1, 4, 5, 11, 20, 36, 65, 119, 218, 412, 770, 1466, 2784, 5322, 10226, 19691, 38048, 73665, 142927, 277822, 540851, 1054502, 2058507, 4023164, 7871226, 15414517, 30213010, 59266164, 116343183, 228545303, 449240025, 883569304, 1738768584, 3423466797, 6743729031 (list; graph; listen)
OFFSET

0,4

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: A118143 A001350 A077238 this_sequence A036539 A000769 A050831

Adjacent sequences: A000283 A000284 A000285 this_sequence A000287 A000288 A000289

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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