A238903 Integers n such that (n^2+(n+1)^2) has no square proper substring.

0, 1, 3, 6, 11, 18, 36, 43, 56, 61, 106, 136, 168, 181, 206, 411, 431, 511, 518, 536, 606, 613, 1056, 1068, 1388, 1631, 1636, 1668, 1686, 1693, 1806, 1813, 1956, 1981, 2068, 2081, 3363, 3411, 3418, 3631, 3693, 3763, 4106, 4331, 5136, 5318, 5411, 5606, 5868, 6011, 6036, 6236, 6238, 6256, 6431, 6456, 6581, 10568, 10668, 10813, 11581, 11588, 11806, 11888

Offset

1,3

Comments

Inspired by (and program used from) A238334.

Note that (m^2+(m+1)^2), for m>0, always ends with 5. Any other patterns?

Links

Table of n, a(n) for n=1..64.

Example

1^2 + 2^2 = 5, 3^2 + 4^2 = 25, 6^2 + 7^2 = 85.

Crossrefs

Cf. A001844, A130448, A238334, A238335.

Sequence in context: A058053 A264923 A321381 * A271079 A091094 A332446

Adjacent sequences: A238900 A238901 A238902 * A238904 A238905 A238906

Keyword

nonn,base

Author

Zak Seidov, Mar 07 2014

Status

approved