OFFSET
0,2
COMMENTS
With interpolated zeros, this is the multinomial expression sum{i=0..n,sum{j=0..n,sum{k=0..n,if (mod(n-2i-4j-4k,6)=0,n!/(i!j!k!(n-i-j-k)!),0)}}}. Binomial transform of A091882.
LINKS
FORMULA
a(n) = 16^n/3 + 2/3; a(n) = A001045(4*n) + 1.
a(0)=1, a(1)=6, a(n) = 17*a(n-1) - 16*a(n-2) [Harvey P. Dale, Dec 15 2011]
a(n) = A078008(4n). - Oboifeng Dira, May 29 2020
MATHEMATICA
CoefficientList[Series[(1-11x)/((1-x)(1-16x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{17, -16}, {1, 6}, 30] (* Harvey P. Dale, Dec 15 2011 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Feb 10 2004
STATUS
approved