A053803 Numbers where the difference of consecutive cubes is "close" to another cube: let A = x^3 - (x-1)^3, sequence is the x's where A - int(A^(1/3))^3 < int(x^(1/2))^3.

1, 7, 9, 19, 22, 25, 28, 31, 38, 41, 45, 49, 53, 57, 61, 65, 69, 73, 78, 82, 87, 91, 92, 96, 101, 106, 110, 111, 115, 116, 121, 126, 131, 132, 136, 137, 142, 147, 148, 153, 158, 159, 164, 165, 170, 171, 175, 176, 181, 182, 187, 188, 193, 194, 199, 200, 205, 206

Offset

1,2

Links

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

Example

a(2)=7 because A = 7^3-6^3 = 127 and the condition 'A - int(A^(1/3))^3 < int(x^(1/2))^3' simplifies to '127 - 5^3 < 2^3' which is true.

Crossrefs

Sequence in context: A116484 A138749 A320700 * A320323 A032791 A046257

Adjacent sequences: A053800 A053801 A053802 * A053804 A053805 A053806

Keyword

nonn

Author

Joe K. Crump (joecr(AT)carolina.rr.com), Mar 27 2000

Status

approved