A169832 a(n) = 15*2^(n+1) - (5*n^2+22*n+30).

0, 3, 26, 99, 282, 695, 1578, 3411, 7154, 14727, 29970, 60563, 121866, 244599, 490202, 981555, 1964418, 3930311, 7862274, 15726387, 31454810, 62911863, 125826186, 251655059, 503313042, 1006629255, 2013261938, 4026527571, 8053059114, 16106122487, 32212249530

Offset

0,2

Links

B. Berselli, Table of n, a(n) for n = 0..1000 [From Bruno Berselli, Jun 03 2010]

P. Nissen and J. Taylor, Running clubs - a combinatorial investigation, Math. Mag., 64 (No. 1, 1991), 39-44.

Index entries for linear recurrences with constant coefficients, signature (5,-9,7,-2). [From R. J. Mathar, Jun 04 2010]

Formula

From Bruno Berselli and R. J. Mathar, Jun 03 2010: (Start)

G.f.: x*(3+11*x-4*x^2)/[(1-2*x)*(1-x)^3].

a(n) - 5*a(n-1) + 9*a(n-2) - 7*a(n-3) + 2*a(n-4) = 0, with n>3. (End)

Mathematica

LinearRecurrence[{5, -9, 7, -2}, {0, 3, 26, 99}, 40] (* Harvey P. Dale, Sep 24 2014 *)

Crossrefs

Sequence in context: A292001 A211622 A062124 * A322300 A100606 A307918

Adjacent sequences: A169829 A169830 A169831 * A169833 A169834 A169835

Keyword

nonn

Author

N. J. A. Sloane, Jun 01 2010

Status

approved