A173244 G.f. (x^10 +x^9 +x^8 +.... +x+1) / (x^10 +x^9 -x^7 -x^6 -x^5 -x^4 -x^3 +x +1).

1, 0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 7, 8, 9, 11, 13, 15, 18, 21, 25, 29, 34, 41, 47, 56, 66, 77, 91, 107, 126, 148, 174, 205, 241, 283, 334, 392, 461, 543, 638, 751, 883, 1039, 1222, 1437, 1691, 1989, 2339, 2752, 3237, 3807, 4479, 5268, 6197, 7289, 8574, 10086, 11863

Offset

0,6

Comments

Limiting ratio is: a(n+1)/a(n)->1.1762808182599176...

Links

Table of n, a(n) for n=0..58.

Formula

G.f.: (1-x^11)/(1-x^2-x^3+x^8+x^9-x^11).

Mathematica

p[x_] = Sum[x^i, {i, 0, 10}]/(x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 + x + 1);;
a = Table[SeriesCoefficient[ Series[p[x], {x, 0, 50}], n], {n, 0, 50}]

Crossrefs

Cf. A029826

Sequence in context: A007360 A359320 A029144 * A304114 A031234 A030585

Adjacent sequences: A173241 A173242 A173243 * A173245 A173246 A173247

Keyword

nonn

Author

Roger L. Bagula, Feb 13 2010

Extensions

Removed unused variables - The Assoc. Editors of the OEIS, Feb 24 2010

Status

approved