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A217528
a(n) = (n-2)*(n-3)*2^(n-2)+2^n-2.
1
1, 2, 6, 22, 78, 254, 766, 2174, 5886, 15358, 38910, 96254, 233470, 557054, 1310718, 3047422, 7012350, 15990782, 36175870, 81264638, 181403646, 402653182, 889192446, 1954545662, 4278190078, 9328132094, 20266876926, 43889197054, 94757715966, 204010946558
OFFSET
1,2
LINKS
W. Griffiths, R. Smith and D. Warren, Almost avoiding pairs of permutations, PU. M. A. Vol. 22 (2011), 129-139.
FORMULA
a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). G.f.: -x*(4*x^3-10*x^2+5*x-1)/((x-1)*(2*x-1)^3). [Colin Barker, Oct 17 2012]
MATHEMATICA
Table[(n-2) (n-3) 2^(n-2) + 2^n - 2, {n, 30}] (* Vincenzo Librandi, Mar 11 2013 *)
LinearRecurrence[{7, -18, 20, -8}, {1, 2, 6, 22}, 30] (* Harvey P. Dale, Aug 08 2021 *)
PROG
(Maxima) makelist((n-2)*(n-3)*2^(n-2)+2^n-2, n, 1, 30); /* Martin Ettl, Oct 15 2012 */
(Magma) [(n-2)*(n-3)*2^(n-2)+2^n-2: n in [1..30]]; // Vincenzo Librandi, Mar 11 2013
CROSSREFS
Sequence in context: A107239 A262068 A148496 * A181367 A106434 A150228
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 13 2012
STATUS
approved