A048501 a(n) = 2^(n-1)*(8*n-14)+8.

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

Author

Clark Kimberling

Keywords

• nonn
• easy

Comments

a(n) = T(7, n), array T given by A048494.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..2000
• Index entries for linear recurrences with constant coefficients, signature (5,-8,4).

Programs

Magma

[2^(n-1)*(8*n-14)+8 : n in [0..30]]; // Vincenzo Librandi, Sep 25 2011

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 *)

PARI

Vec((1-3*x+10*x^2)/((1-x)*(1-2*x)^2) + O(x^40)) \\ Colin Barker, Aug 24 2016

Formula

G.f.: (1-3*x+10*x^2) / ((1-x)*(1-2*x)^2). - Colin Barker, Aug 24 2016

Extensions

Formula from Ralf Stephan, Jan 15 2004