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A174578 Expansion of g.f.: -1/(-1 + x + x^4 - x^10 + x^13 + x^14). 0
1, 1, 1, 1, 2, 3, 4, 5, 7, 10, 13, 17, 23, 33, 46, 62, 83, 114, 158, 217, 296, 405, 557, 764, 1044, 1427, 1957, 2686, 3680, 5035, 6893, 9446, 12944, 17728, 24278, 33259, 45567, 62417, 85486, 117094, 160411, 219748, 301005, 412299, 564771, 773650, 1059760 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
Limiting ratio is: 1.3698098178136... .
The polynomial was developed from x^4-x^3-1.
REFERENCES
McKean and Moll, Elliptic Curves, Function Theory,Geometry, Arithmetic, Cambridge University Press, New York, 199, page 173
LINKS
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1).
MATHEMATICA
f[x_] = x^4 - x^3 - 1;
p[x_] = ExpandAll[x^4*f[-1/x] - x^(4 + 6)*f[x]];
f[x_] = ExpandAll[x^14*p[1/x]]
a = Table[SeriesCoefficient[
Series[-1/f[x], {x, 0, 100}], n], {n, 0, 100}]
CROSSREFS
Cf. A174577.
Sequence in context: A052335 A193771 A160333 * A241733 A241338 A271489
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, Nov 29 2010
STATUS
approved

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Last modified March 18 22:09 EDT 2024. Contains 370951 sequences. (Running on oeis4.)