OFFSET
0,2
COMMENTS
Binomial transform of A007583
Row sums of A114195. - Paul Barry, Nov 16 2005
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (7,-10)
FORMULA
G.f.: (1-3x)/((1-5x)(1-2x))
a(n)=sum{k=0..n, sum{j=0..n, C(n, j)C(j+k, 2k)2^(j-k)}}. - Paul Barry, Nov 16 2005
a(0)=1, a(1)=4, a(n)=7*a(n-1)-10*a(n-2). - Harvey P. Dale, Apr 09 2014
MATHEMATICA
Table[(2*5^n+2^n)/3, {n, 0, 30}] (* or *) LinearRecurrence[{7, -10}, {1, 4}, 30] (* Harvey P. Dale, Apr 09 2014 *)
CoefficientList[Series[(1 - 3 x)/((1 - 5 x) (1 - 2 x)), {x, 0, 50}], x] (* Vincenzo Librandi, Apr 10 2014 *)
PROG
(PARI) a(n)=(2*5^n+2^n)/3 \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 11 2003
STATUS
approved