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A134823 Expansion of -x*(x^5+11*x^4+x^3+x^2+21*x-4) / ((x^2+x-1)*(3*x^4+7*x-1)). 0
4, 11, 63, 409, 2818, 19669, 137725, 965065, 6763525, 47403061, 332233597, 2328528748, 16319989180, 114382129186, 801671598205, 5618686762534, 39379767287245, 276001517369095, 1934415636331069, 13557765514528696 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
G.f.: -x*(x^5+11*x^4+x^3+x^2+21*x-4) / ((x^2+x-1)*(3*x^4+7*x-1)). - Colin Barker, Mar 17 2013
a(n) = +8*a(n-1) -6*a(n-2) -7*a(n-3) +3*a(n-4) -3*a(n-5) -3*a(n-6). - Colin Barker, Mar 17 2013
MATHEMATICA
M = {{0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 3, 0, 0, 7}}; v[0] = {1, 0, 1, 0, 1, 0, 0, 0, 0, 1}; v[n_] := v[n] = M.v[n - 1]; a = Table[Apply[Plus, v[n]], {n, 0, 50}]
CROSSREFS
Sequence in context: A303955 A114053 A266386 * A000880 A006551 A353819
KEYWORD
nonn,easy,less
AUTHOR
Roger L. Bagula, Jan 28 2008
EXTENSIONS
New name from Colin Barker and Joerg Arndt, Mar 17 2013
STATUS
approved

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Last modified March 28 21:57 EDT 2024. Contains 371254 sequences. (Running on oeis4.)