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A030051 Numbers from the 290-theorem. 6
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.
LINKS
Manjul Bhargava and Jonathan Hanke, Universal quadratic forms and the 290-Theorem Inventiones Math., 2005
Jangwon Ju and Byeong-Kweon Oh, Universal mixed sums of generalized 4- and 8-gonal numbers, arXiv:1809.03673 [math.NT], 2018. See p. 1.
Alexander J. Hahn, Quadratic Forms over Z from Diophantus to the 290 Theorem, Adv. Appl. Clifford Alg. 18 (2008), 665-676.
Jangwon Ju, Almost universal sums of triangular numbers with one exception, arXiv:2201.04355 [math.NT], 2022.
K. Ono, Honoring a gift from Kumbakonam, Notices Amer. Math. Soc., 53 (2006), 640-651.
Ivars Peterson, MathTrek, All Square
CROSSREFS
Sequence in context: A239746 A101323 A298705 * A344308 A183071 A139826
KEYWORD
nonn,fini,full,nice
AUTHOR
STATUS
approved

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Last modified March 18 22:09 EDT 2024. Contains 370951 sequences. (Running on oeis4.)