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A085281
Expansion of (1 - 3*x + x^2)/((1-2*x)*(1-3*x)).
3
1, 2, 5, 13, 35, 97, 275, 793, 2315, 6817, 20195, 60073, 179195, 535537, 1602515, 4799353, 14381675, 43112257, 129271235, 387682633, 1162785755, 3487832977, 10462450355, 31385253913, 94151567435, 282446313697, 847322163875
OFFSET
0,2
COMMENTS
Binomial transform of A005578. Binomial transform is A085282.
FORMULA
a(n) = 3^n/3 + 2^n/2 + 0^n/6.
a(n) = A007689(n-1), n > 0. - R. J. Mathar, Sep 12 2008
MATHEMATICA
a[n_]:=3^n/3 + 2^n/2; Flatten[Join[{1, Array[a, 50]}]] (* or *)
CoefficientList[Series[(1 - 3*x + x^2)/((1-2*x)*(1-3*x)), {x, 0, 50}], x] (* Stefano Spezia, Sep 09 2018 *)
LinearRecurrence[{5, -6}, {1, 2, 5}, 30] (* Harvey P. Dale, Jun 14 2022 *)
PROG
(Magma) [3^n/3+2^n/2+0^n/6: n in [0..35]]; // Vincenzo Librandi, May 29 2011
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jun 25 2003
STATUS
approved