A082609 Begin with 1 and then smallest number not included earlier such that a(n)*a(n+1) -1 is a cube.

1, 2, 14, 9, 57, 2193, 3059049, 646785, 14861988225, 4007948400041, 227329891050248477628633, 253359999446098770547643849168025163162993, 294907355674806113726323566850834771401836431259814899322458665187277652242833

Offset: 0

Author

Amarnath Murthy, Apr 28 2003

Keywords

• nonn

Comments

Sequence is infinite. a(n+1) <= {(a(n) - 1)^3 + 1}/a(n).

Crossrefs

Cf. A082607, A082608, A082610.

Cf. A083203.

Extensions

Corrected and extended by David Wasserman, Oct 18 2004