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

Author

Robert G. Wilson v, Oct 13 2001

Keywords

• nonn

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

Examples

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

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

Crossrefs

Cf. A004431.

Programs

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 ]] & ]]]