OFFSET
1,2
COMMENTS
The binomial transform of [1, c, c, c, ...] has the terms a(n) = 1 - c + c*2^(n-1) if the offset 1 is chosen. The o.g.f. of the a(n) is x*(1+(c-2)*x)/((2x-1)*(x-1)). This applies to A139634 with c=10, to A139635 with c=11, to A139697 with c=12, to A139698 with c=25 and to A099003, A139700, A139701 accordingly. - R. J. Mathar, May 11 2008
LINKS
FORMULA
A007318 * [1, 12, 12, 12, ...].
a(n) = 12*2^(n-1) - 11. - Emeric Deutsch, May 05 2008
a(n) = 2*a(n-1) + 11 (with a(1)=1). - Vincenzo Librandi, Nov 24 2010
From Colin Barker, Oct 10 2013: (Start)
a(n) = 3*2^(n+1) - 11.
a(n) = 3*a(n-1) - 2*a(n-2).
G.f.: x*(10*x+1) / ((x-1)*(2*x-1)). (End)
EXAMPLE
a(4) = 85 = (1, 3, 3, 1) dot (1, 12, 12, 12) = (1 + 36 + 36 + 12).
MAPLE
seq(12*2^(n-1)-11, n=1..25); # Emeric Deutsch, May 05 2008
MATHEMATICA
a=1; lst={a}; k=12; Do[a+=k; AppendTo[lst, a]; k+=k, {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 17 2008 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Gary W. Adamson, Apr 29 2008
EXTENSIONS
More terms from Emeric Deutsch, May 05 2008
More terms from Colin Barker, Oct 10 2013
STATUS
approved