OFFSET
0,2
LINKS
FORMULA
a(n) = (7/2)*3^n-(5/2). - Emeric Deutsch, Apr 01 2006
a(n) = 4*a(n-1)-3*a(n-2). G.f.: (4*x+1) / ((x-1)*(3*x-1)). - Colin Barker, Jul 18 2013
EXAMPLE
The second term is 8 since a(1) = 3*a(0) + 5 = 3*1 + 5 = 8.
MAPLE
a:=n->(7*3^n-5)/2: seq(a(n), n=0..27);
a[0]:=1: for n from 1 to 27 do a[n]:=3*a[n-1]+5 od: seq(a[n], n=0..27);
MATHEMATICA
a[0] := 1; a[n_] := 3a[n - 1] + 5; Table[a[n], {n, 0, 30}]
NestList[3#+5&, 1, 30] (* or *) LinearRecurrence[{4, -3}, {1, 8}, 30] (* Harvey P. Dale, Jul 20 2018 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Parthasarathy Nambi, Mar 29 2006
EXTENSIONS
More terms from Emeric Deutsch and Stefan Steinerberger, Apr 01 2006
More terms from Colin Barker, Jul 18 2013
STATUS
approved