OFFSET
0,3
COMMENTS
A row of A099233.
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,4,6,4,1).
FORMULA
G.f.: 1/(1-x(1+x)^4); a(n)=sum{k=0..n, binomial(4(n-k), k)}; a(n)=a(n-1)+4a(n-2)+6a(n-3)+4a(n-4)+a(n-5); a(n)=A003520(4n).
MATHEMATICA
Take[CoefficientList[Series[1/(1-x-x^5), {x, 0, 100}], x], {1, -1, 4}] (* or *) LinearRecurrence[{1, 4, 6, 4, 1}, {1, 1, 5, 15, 45}, 30] (* Harvey P. Dale, Mar 06 2015 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Oct 08 2004
STATUS
approved