OFFSET
0,3
COMMENTS
The coefficients of the recursion for a(n) are given by the 7th row of A145152.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
FORMULA
a(n) = 7a(n-1) -21a(n-2) +35a(n-3) -34a(n-4) +15a(n-5) +8a(n-6) -19a(n-7) +15a(n-8) -6a(n-9) +a(n-10).
MAPLE
col:= proc(k) local l, j, M, n; l:= `if`(k=0, [1, 0, 0, 1], [seq(coeff ( -(1-x-x^4) *(1-x)^(k-1), x, j), j=1..k+3)]); M:= Matrix(nops(l), (i, j)-> if i=j-1 then 1 elif j=1 then l[i] else 0 fi); `if`(k=0, n->(M^n)[2, 3], n->(M^n)[1, 2]) end: a:= col(7): seq(a(n), n=0..40);
MATHEMATICA
CoefficientList[Series[x / ((1 - x - x^4) (1 - x)^6), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 06 2013 *)
PROG
(PARI) concat(0, Vec(1/(1-x-x^4)/(1-x)^6+O(x^99))) \\ Charles R Greathouse IV, Sep 25 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Oct 03 2008
STATUS
approved