A030050 - OEIS

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A030050

Numbers from the Conway-Schneeberger 15-theorem.

1, 2, 3, 5, 6, 7, 10, 14, 15 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`The 15-theorem asserts that a positive definite integral quadratic form represents all numbers if it represents the numbers in this sequence. An integral quadratic form has the form x^T Mx, where x is an integer vector and M is an integer matrix. - T. D. Noe, Mar 30 2006`
	REFERENCES	`Manjul Bhargava, On the Conway-Schneeberger fifteen theorem, Contemporary Mathematics 272 (1999), 27-37.` `J. H. Conway, Universal quadratic forms and the fifteen theorem, Contemporary Mathematics 272 (1999), 23-26.` `J. H. Conway, The Sensual (Quadratic) Form, M.A.A., 1997, p. 141.` `J. H. Conway and W. A. Schneeberger, personal communication.`
	LINKS	`Table of n, a(n) for n=1..9.` `Ivars Peterson, All Square: Science News Online (subscription required)`
	CROSSREFS	`Cf. A030051, A116582.` `Sequence in context: A139826 A182048 A028722 * A018336 A194359 A220355` `Adjacent sequences: A030047 A030048 A030049 * A030051 A030052 A030053`
	KEYWORD	`nonn,fini,full,nice`
	AUTHOR	`N. J. A. Sloane.`
	STATUS	`approved`

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Last modified May 21 21:50 EDT 2013. Contains 225505 sequences.