

A030051


Numbers from the 290theorem.


4



1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 17, 19, 21, 22, 23, 26, 29, 30, 31, 34, 35, 37, 42, 58, 93, 110, 145, 203, 290
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OFFSET

1,2


COMMENTS

The 290theorem, conjectured by Conway and Schneeberger and proved by Bhargava and Hanke, asserts that a positive definite quadratic form represents all numbers iff it represents the numbers in this sequence.  T. D. Noe, Mar 30 2006


REFERENCES

Manjul Bhargava and Jonathan Hanke, Universal quadratic forms and the 290Theorem, Inventiones Math., to appear (2013 or later).
J. H. Conway and W. A. Schneeberger, personal communication.
Alexander J. Hahn, Quadratic Forms over Z from Diophantus to the 290 Theorem, Adv. Appl. Clifford Alg. 18 (2008), 665676
K. Ono, Honoring a gift from Kumbakonam, Notices Amer. Math. Soc., 53 (2006), 640651.


LINKS

Table of n, a(n) for n=1..29.
Ivars Peterson, All Square: Science News Online
Ivars Peterson, MathTrek, All Square


CROSSREFS

Cf. A030050, A116582, A154363.
Sequence in context: A037016 A239746 A101323 * A183071 A139826 A182048
Adjacent sequences: A030048 A030049 A030050 * A030052 A030053 A030054


KEYWORD

nonn,fini,full,nice


AUTHOR

N. J. A. Sloane.


STATUS

approved



