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A238903 Integers n such that (n^2+(n+1)^2) has no square proper substring. 0

%I #9 Mar 09 2014 12:10:43

%S 0,1,3,6,11,18,36,43,56,61,106,136,168,181,206,411,431,511,518,536,

%T 606,613,1056,1068,1388,1631,1636,1668,1686,1693,1806,1813,1956,1981,

%U 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

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

%C Inspired by (and program used from) A238334.

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

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

%Y Cf. A001844, A130448, A238334, A238335.

%K nonn,base

%O 1,3

%A _Zak Seidov_, Mar 07 2014

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Last modified April 25 10:51 EDT 2024. Contains 371967 sequences. (Running on oeis4.)