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A199319
4*6^n+1.
1
5, 25, 145, 865, 5185, 31105, 186625, 1119745, 6718465, 40310785, 241864705, 1451188225, 8707129345, 52242776065, 313456656385, 1880739938305, 11284439629825, 67706637778945, 406239826673665, 2437438960041985, 14624633760251905
OFFSET
0,1
FORMULA
a(n) = 5*A083066(n).
a(n) = 6*a(n-1)-5.
a(n) = 7*a(n-1)-6*a(n-2).
G.f.: 5*(1-2*x)/((1-x)*(1-6*x)).
MAPLE
A199319:=n->4*6^n + 1; seq(A199319(n), n=0..30); # Wesley Ivan Hurt, Feb 25 2014
MATHEMATICA
Table[4*6^n + 1, {n, 0, 30}] (* Wesley Ivan Hurt, Feb 25 2014 *)
LinearRecurrence[{7, -6}, {5, 25}, 40] (* Harvey P. Dale, Oct 08 2015 *)
PROG
(Magma) [4*6^n+1: n in [0..30]];
CROSSREFS
Sequence in context: A114870 A222676 A285382 * A366221 A371725 A366499
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 06 2011
STATUS
approved