A064715 Smallest member of triple of consecutive numbers each of which is the sum of two different nonzero squares.

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

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