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A269569 Numbers k such that k+s+c is a square, where s is the nearest square to k and c is the nearest cube to k. 0

%I #5 Apr 02 2016 22:45:04

%S 0,2,4,8,29,37,45,56,68,80,92,99,115,235,257,279,413,593,751,791,831,

%T 909,955,1001,1396,1450,1504,1572,1961,2019,2087,2500,2576,3093,3634,

%U 3720,4129,4223,4317,4522,4624,4726,5816,5928,6040,7110,7232,7354,7535,7665,8368,8500

%N Numbers k such that k+s+c is a square, where s is the nearest square to k and c is the nearest cube to k.

%e The square nearest to 8 is 9, the cube nearest to 8 is 8. Because 8+8+9 is a square, 8 is in the sequence.

%e The square nearest to 29 is 25, the cube nearest to 29 is 27. Because 29+25+27 is a square, 29 is in the sequence.

%Y Cf. A000290, A000578, A238456, A238489.

%K nonn

%O 1,2

%A _Alex Ratushnyak_, Feb 29 2016

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)