A226954 Numbers n such that there are seven distinct triples (k, k+n, k+2n) of squares.

12671122464000, 50684489856000, 114040102176000, 202737959424000, 316778061600000, 456160408704000, 620885000736000, 810951837696000, 1026360919584000, 1267112246400000, 1533205818144000

Offset

1,1

Comments

For the first 11 terms we have a(n) = n^2 * a(1). Are there any other primitive terms other than a(1)?

Links

Table of n, a(n) for n=1..11.

Example

These 7 triples of squares have a common difference of 12671122464000: (676403^2, 3623347^2, 5079347^2), (911820^2, 3674580^2, 5116020^2), (2615340^2, 4417140^2, 5672940^2), (4885860^2, 6045060^2, 7015260^2), (5664815^2, 6690385^2, 7578415^2), (10873380^2, 11441220^2, 11982180^2) and (11985330^2, 12502770^2, 12999630^2).

Crossrefs

Cf. A198387, A222154, A222155, A214155, A226858.

Sequence in context: A172551 A172615 A172719 * A068747 A238357 A349028

Adjacent sequences: A226951 A226952 A226953 * A226955 A226956 A226957

Keyword

nonn

Author

Zdenek Cervenka, Jun 26 2013

Status

approved