A105949 Powers of 3-Step Lucas numbers (A001644).

1, 3, 9, 11, 21, 27, 39, 49, 71, 81, 121, 131, 241, 243, 343, 441, 443, 729, 815, 1331, 1499, 1521, 2187, 2401, 2757, 5041, 5071, 6561, 9261, 9327, 14641, 16807, 17155, 17161, 19683, 31553, 58035, 58081, 59049, 59319, 106743, 117649, 161051, 177147

Offset: 1

Author

Jonathan Vos Post, Apr 27 2005

Keywords

• easy
• nonn

Comments

A001644 3-Step Lucas numbers. A000032 Lucas numbers. A001254 Squares of Lucas numbers. A075155 Cubes of Lucas numbers. A099923 Fourth powers of Lucas numbers. A103325 Fifth powers of Lucas numbers. A103324 Square array T(n,k) read by antidiagonals: powers of Lucas numbers. A105317 Powers of Fibonacci numbers.

Links

• Eric Weisstein's World of Mathematics, Lucas n-Step Number.

Crossrefs

Cf. A001644, A105317.

Formula

{A001644(n)} U {A001644(n)^2} U {A001644(n)^3}...