A048508 a(n) = T(3,n), array T given by A048505.
1, 17, 58, 160, 408, 1000, 2392, 5624, 13048, 29944, 68088, 153592, 344056, 765944, 1695736, 3735544, 8191992, 17891320, 38928376, 84410360, 182452216, 393215992, 845152248, 1811939320, 3875536888, 8271167480, 17616076792
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..2000
- Index entries for linear recurrences with constant coefficients, signature (7,-18,20,-8).
Programs
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Magma
[(n+4)*(n+9) * 2^(n-2) - 8: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011
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PARI
Vec((40*x^3-43*x^2+10*x+1) / ((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Feb 25 2015
Formula
a(n) = (n+4)*(n+9) * 2^(n-2) - 8. - Ralf Stephan, Feb 05 2004
a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - Colin Barker, Feb 25 2015
G.f.: (40*x^3-43*x^2+10*x+1) / ((x-1)*(2*x-1)^3). - Colin Barker, Feb 25 2015
Comments