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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A064715 Smallest member of triple of consecutive numbers each of which is the sum of two different nonzero squares. 2
232, 520, 584, 800, 808, 1096, 1224, 1312, 1600, 1664, 1744, 1800, 1872, 1960, 2248, 2312, 2384, 2600, 2824, 3328, 3392, 3600, 4112, 4176, 4328, 4624, 5120, 5328, 5408, 5904, 6056, 6120, 6352, 6408, 6568, 6920, 8080, 8144, 8296, 8352, 8584, 9160, 9376 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms == 0 mod 8. Is this the same as A073412? - Zak Seidov, Jan 26 2013

This sequence is distinct from A073412 since it does not allow numbers equal to twice a square, like 72, 1152, 2592, 3528, etc. - Giovanni Resta, Jan 29 2013

REFERENCES

David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Revised Edition, Penguin Books Ltd., Middlesex, England, 1997, page 133. - "It is not possible to have 4 such consecutive numbers."

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1200

EXAMPLE

232 = 6^2 + 14^2, 233 = 8^2 + 13^2, and 234 = 3^2 + 15^2.

MATHEMATICA

a = Table[n^2, {n, 1, 100} ]; c = {}; Do[ c = Append[c, a[[i]] + a[[j]]], {i, 1, 100}, {j, 1, i - 1} ]; c = Union[c]; c[[ Select[ Range[ Length[c] - 2], c[[ # ]] + 2 == c[[ # + 2 ]] & ]]]

CROSSREFS

Cf. A004431.

Sequence in context: A277076 A250645 A179246 * A245006 A252273 A153466

Adjacent sequences:  A064712 A064713 A064714 * A064716 A064717 A064718

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Oct 13 2001

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified July 21 12:39 EDT 2017. Contains 289642 sequences.