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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A047694 x such that y^2=C(x,0)+C(x,1)+C(x,2)+C(x,3) is soluble. 1
-1, 0, 2, 7, 15, 74, 767 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, Section D3.

W. Ljunggren, A diophantine problem, J. London Math. Soc. (2), 3 (1971), p. 385-391.

LINKS

Andrew Bremner, An equation of Mordell, Math. Comp., 29 (1975), p. 925-928.

FORMULA

x such that 6y^2 = (x + 1)(x^2 - x + 6) has solutions in integers.

MATHEMATICA

Select[Range[-10, 10^3], IntegerQ[Sqrt[((# + 1)(#^2 - # + 6))/6]] &] (* From Alonso del Arte, Sep 13 2011 *)

CROSSREFS

Cf. A047695.

Sequence in context: A096690 A050612 A120110 * A129666 A135781 A167236

Adjacent sequences:  A047691 A047692 A047693 * A047695 A047696 A047697

KEYWORD

sign,fini,full,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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

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

Last modified February 15 03:59 EST 2012. Contains 205694 sequences.