A077059 Numbers j such that j^2 + k^2 is a cube for some k > j.

0, 2, 5, 7, 9, 10, 16, 17, 18, 26, 30, 35, 36, 37, 38, 40, 44, 47, 50, 51, 54, 56, 58, 60, 65, 72, 73, 74, 75, 80, 82, 88, 95, 97, 101, 102, 106, 107, 115, 122, 128, 130, 135, 136, 140, 142, 143, 144, 145, 146, 150, 154, 164, 170, 182, 187, 189, 190

Offset

1,2

Comments

The values of minimal k in A077060 and A077061. The values of corresponding c in A077062.

Links

Table of n, a(n) for n=1..58.

Formula

j is in this sequence if for some integer k > j, j^2 + k^2 = c^3.

Example

2 is in the sequence because 2^2 + 11^2 = 5^3;
7 is in the sequence because 7^2 + 524^2 = 65^3;
1 is not in the sequence because 1^2 + k^2 is not a cube for any k > 1;
3 is not in the sequence because 3^2 + k^2 is not a cube for any k > 3.

Crossrefs

Cf. A076600, A077059-A077062.

Sequence in context: A367491 A174272 A062288 * A260166 A007300 A256699

Adjacent sequences: A077056 A077057 A077058 * A077060 A077061 A077062

Keyword

nonn

Author

Zak Seidov, Oct 23 2002, Jan 02 2008

Extensions

Corrected and extended by Max Alekseyev, Dec 14 2011

Status

approved