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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

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

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

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

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 2 11:54 EST 2009. Contains 167921 sequences.


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