OFFSET
0,2
COMMENTS
Triangular numbers A000217 start: 0,1,3,6,10,15,21,28,36,45,55
LINKS
Index entries for linear recurrences with constant coefficients, signature (3, -3, 1, 0, 0, 0, 0, -1, 3, -3, 1).
FORMULA
a(0)=1, a(1)=3, a(2)=6, a(3)=10, a(4)=15, a(5)=21, a(6)=28, a(7)=36, a(8)=44, a(9)=52, a(10)=60, a(n)=3*a(n-1)-3*a(n-2)+a(n-3)-a(n-8)+ 3*a(n-9)- 3*a(n-10)+a (n-11). - Harvey P. Dale, Jan 28 2015
MAPLE
seriestolist(series(1/((x^8+1)*(x-1)^3), x=0, 100));
MATHEMATICA
CoefficientList[Series[1/((1-x)^3 (1+x^8)), {x, 0, 60}], x] (* or *) LinearRecurrence[{3, -3, 1, 0, 0, 0, 0, -1, 3, -3, 1}, {1, 3, 6, 10, 15, 21, 28, 36, 44, 52, 60}, 60] (* Harvey P. Dale, Jan 28 2015 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Creighton Dement, Jul 17 2005
EXTENSIONS
Definition corrected by Harvey P. Dale, Jan 28 2015
STATUS
approved