

A135991


Expansion of x^3*(x1)^2*(x+1) / (x^63*x^5+3*x^4x+1)


0



0, 0, 1, 0, 1, 0, 3, 0, 2, 1, 9, 0, 3, 6, 26, 2, 2, 25, 74, 16, 10, 89, 210, 85, 67, 288, 599, 375, 291, 869, 1725, 1485, 1112, 2471, 5020, 5479, 4037, 6629, 14732, 19236, 14332, 16629, 43417, 65116, 50320, 37975, 127831, 214397, 175328
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OFFSET

1,7


COMMENTS

The ratio is "ringing" cyclic:
Table[N[a[[n]]/a[[n  1]]], {n, 8, 100}]
The sequence alternates and is relatively low in value a little longer than other such sequences.


LINKS

Table of n, a(n) for n=1..49.
Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,3,3,1).


FORMULA

G.f.: x^3*(x1)^2*(x+1) / (x^63*x^5+3*x^4x+1). [Colin Barker, Feb 02 2013]


MATHEMATICA

Clear[v, m, n, M0, N0] v[0] = {0, 0, 1}; v[1] = {0, 1, 2}; M0 = {{0, 1, 0}, {0, 0, 1}, {1, 0, 1}}; N0 = {{0, 1, 0}, {0, 0, 1}, {1, 1, 1}}; v[n_] := v[n] = N0.v[n  1]  M0.v[n  2] a = Table[v[n][[1]], {n, 0, 100}]


CROSSREFS

Sequence in context: A034389 A084196 A127913 * A102003 A176314 A004587
Adjacent sequences: A135988 A135989 A135990 * A135992 A135993 A135994


KEYWORD

sign,easy


AUTHOR

Roger L. Bagula, Mar 03 2008


EXTENSIONS

Better name by Colin Barker, Feb 02 2013


STATUS

approved



