|
| |
|
|
A145289
|
|
a(n) = number of monomials in n-th power of polynomial x^3+x^2+x+1
|
|
0
| |
|
|
4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 139, 142, 145, 148, 151, 154, 157, 160, 163, 166, 169, 172, 175, 178, 181
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| a(n)=Length[(x^4+x^3+x^2+x+1)^n]
|
|
|
FORMULA
| a(n) = 3n+1 = A112414(n-2) = A016777(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 11 2008]
|
|
|
MATHEMATICA
| a = {}; k = x^3 + 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: A190084 A180364 A112335 * A016777 A143460 A143459
Adjacent sequences: A145286 A145287 A145288 * A145290 A145291 A145292
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Oct 06 2008
|
| |
|
|
