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A025871
Expansion of 1/((1-x^4)(1-x^7)(1-x^12)).
0
1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 3, 1, 2, 2, 4, 1, 2, 3, 4, 2, 2, 4, 5, 2, 3, 4, 6, 2, 4, 5, 6, 3, 4, 6, 7, 4, 5, 6, 8, 4, 6, 7, 9, 5, 6, 8, 10, 6, 7, 9, 11, 6, 8, 10, 12, 7, 9, 11, 13, 8, 10, 12, 14
OFFSET
0,13
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,1,0,0,1,0,0,0,-1,1,0,0, 0,-1,0,0,-1,0,0,0,1).
FORMULA
a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=0, a(6)=0, a(7)=1, a(8)=1, a(9)=0, a(10)=0, a(11)=1, a(12)=2, a(13)=0, a(14)=1, a(15)=1, a(16)=2, a(17)=0, a(18)=1, a(19)=2, a(20)=2, a(21)=1, a(22)=1, a(n)=a(n-4)+ a(n-7)- a(n-11)+a(n-12)-a(n-16)-a(n-19)+a(n-23). - Harvey P. Dale, Feb 07 2015
MATHEMATICA
CoefficientList[Series[1/((1-x^4)(1-x^7)(1-x^12)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1}, 100] (* Harvey P. Dale, Feb 07 2015 *)
CROSSREFS
Sequence in context: A128186 A048823 A173655 * A051010 A328342 A214269
KEYWORD
nonn
AUTHOR
STATUS
approved