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, 2, 4, 8, 29, 37, 45, 56, 68, 80, 92, 99, 115, 235, 257, 279, 413, 593, 751, 791, 831, 909, 955, 1001, 1396, 1450, 1504, 1572, 1961, 2019, 2087, 2500, 2576, 3093, 3634, 3720, 4129, 4223, 4317, 4522, 4624, 4726, 5816, 5928, 6040, 7110, 7232, 7354, 7535, 7665, 8368, 8500

Offset: 1

Author

Alex Ratushnyak, Feb 29 2016

Keywords

• nonn

Examples

			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.
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.
		

Crossrefs

Cf. A000290, A000578, A238456, A238489.