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A048501
a(n) = 2^(n-1)*(8*n-14)+8.
1
1, 2, 12, 48, 152, 424, 1096, 2696, 6408, 14856, 33800, 75784, 167944, 368648, 802824, 1736712, 3735560, 7995400, 17039368, 36175880, 76546056, 161480712, 339738632, 713031688, 1493172232, 3120562184, 6509559816, 13555990536, 28185722888, 58518929416
OFFSET
0,2
COMMENTS
a(n) = T(7, n), array T given by A048494.
FORMULA
G.f.: (1-3*x+10*x^2) / ((1-x)*(1-2*x)^2). - Colin Barker, Aug 24 2016
MATHEMATICA
Table[2^(n-1) (8n-14)+8, {n, 0, 30}] (* or *) LinearRecurrence[{5, -8, 4}, {1, 2, 12}, 30] (* Harvey P. Dale, Nov 22 2014 *)
PROG
(Magma) [2^(n-1)*(8*n-14)+8 : n in [0..30]]; // Vincenzo Librandi, Sep 25 2011
(PARI) Vec((1-3*x+10*x^2)/((1-x)*(1-2*x)^2) + O(x^40)) \\ Colin Barker, Aug 24 2016
CROSSREFS
Sequence in context: A069946 A176684 A216152 * A001815 A347324 A333728
KEYWORD
nonn,easy
EXTENSIONS
Formula from Ralf Stephan, Jan 15 2004
STATUS
approved