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

1,2

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

Table of n, a(n) for n=1..44.

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

Formula

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

Crossrefs

Cf. A001644, A105317.

Sequence in context: A032671 A370918 A331029 * A302422 A032665 A331832

Adjacent sequences: A105946 A105947 A105948 * A105950 A105951 A105952

Keyword

easy,nonn

Author

Jonathan Vos Post, Apr 27 2005

Status

approved