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A025791
Expansion of 1/((1-x)(1-x^9)(1-x^10)).
0
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 16, 17, 18, 19, 20, 21, 21, 21, 21, 22, 23, 24, 25, 26, 27, 28, 28, 28, 29
OFFSET
0,10
LINKS
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1).
FORMULA
a(0)=1, a(1)=1, a(2)=1, a(3)=1, a(4)=1, a(5)=1, a(6)=1, a(7)=1, a(8)=1, a(9)=2, a(10)=3, a(11)=3, a(12)=3, a(13)=3, a(14)=3, a(15)=3, a(16)=3, a(17)=3, a(18)=4, a(19)=5, a(n)=a(n-1)-a(n-19)+a(n-20). - Harvey P. Dale, Jan 14 2016
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-x^9)(1-x^10)), {x, 0, 70}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5}, 70] (* Harvey P. Dale, Jan 14 2016 *)
CROSSREFS
Sequence in context: A354760 A025793 A102680 * A358474 A324608 A237115
KEYWORD
nonn
AUTHOR
STATUS
approved