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

1,2

Links

Table of n, a(n) for n=1..52.

Example

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.

Sequence in context: A134316 A049461 A103791 * A366080 A018346 A006398

Adjacent sequences: A269566 A269567 A269568 * A269570 A269571 A269572

Keyword

nonn

Author

Alex Ratushnyak, Feb 29 2016

Status

approved