A145282 a(n) = number of monomials in n-th power of polynomial x^2-x-1

3, 5, 5, 9, 11, 13, 15, 15, 19, 21, 23, 25, 27, 25, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133

Offset

1,1

Comments

a(n)=Length[(x^2-x-1)^n]

Links

Table of n, a(n) for n=1..66.

Mathematica

a = {}; k = x^2 - x - 1; m = k; Do[AppendTo[a, Length[m]]; m = Expand[m*k], {n, 1, 100}]; a (*Artur Jasinski*)

Crossrefs

Sequence in context: A076877 A332775 A120841 * A049757 A190864 A155537

Adjacent sequences: A145279 A145280 A145281 * A145283 A145284 A145285

Keyword

nonn

Author

Artur Jasinski, Oct 06 2008

Status

approved