login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A030051 Numbers from the 290-theorem. 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The 290-theorem, 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

J. H. Conway and W. A. Schneeberger, personal communication.

K. Ono, Honoring a gift from Kumbakonam, Notices Amer. Math. Soc., 53 (2006), 640-651.

LINKS

Table of n, a(n) for n=1..29.

Manjul Bhargava and Jonathan Hanke, Universal quadratic forms and the 290-Theorem Inventiones Math., 2005

Alexander J. Hahn, Quadratic Forms over Z from Diophantus to the 290 Theorem, Adv. Appl. Clifford Alg. 18 (2008), 665-676.

Yong Suk Moon, Universal Quadratic Forms and the 15-Theorem and 290-Theorem

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 23 09:20 EST 2014. Contains 249840 sequences.