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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).
0
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...
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
Sequence in context: A007360 A359320 A029144 * A304114 A031234 A030585
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Feb 13 2010
EXTENSIONS
Removed unused variables - The Assoc. Editors of the OEIS, Feb 24 2010
STATUS
approved