A095939
a(n+2) = 5a(n+1) - 3a(n) (n >= 1); a(0) = 1, a(1) = 2, a(2) = 9.
Original entry on oeis.org
1, 2, 9, 39, 168, 723, 3111, 13386, 57597, 247827, 1066344, 4588239, 19742163, 84946098, 365504001, 1572681711, 6766896552, 29116437627, 125281498479, 539058179514, 2319446402133, 9980057472123, 42941948154216
Offset: 0
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Join[{1},LinearRecurrence[{5,-3},{2,9},30]] (* Harvey P. Dale, Sep 04 2013 *)
A095934
Expansion of (1-x)^2/(1-5*x+3*x^2).
Original entry on oeis.org
1, 3, 13, 56, 241, 1037, 4462, 19199, 82609, 355448, 1529413, 6580721, 28315366, 121834667, 524227237, 2255632184, 9705479209, 41760499493, 179686059838, 773148800711, 3326685824041, 14313982718072, 61589856118237, 265007332436969, 1140267093830134
Offset: 0
- P. J. Cameron, Some sequences of integers, Discrete Math., 75 (1989), 89-102.
- P. J. Cameron, Some sequences of integers, in "Graph Theory and Combinatorics 1988", ed. B. Bollobas, Annals of Discrete Math., 43 (1989), 89-102.
- Index entries for linear recurrences with constant coefficients, signature (5,-3).
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CoefficientList[Series[(1-x)^2/(1-5x+3x^2),{x,0,30}],x] (* or *) LinearRecurrence[{5,-3},{1,3,13},30] (* Harvey P. Dale, Jun 21 2021 *)
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a(n)=polcoeff((1-x)^2/(1-5*x+3*x^2)+x*O(x^n),n)
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