|
|
A029071
|
|
Expansion of 1/((1-x)(1-x^4)(1-x^6)(1-x^9)).
|
|
0
|
|
|
1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 8, 9, 10, 11, 13, 14, 17, 18, 20, 22, 25, 26, 30, 32, 35, 38, 42, 44, 49, 52, 56, 60, 65, 68, 75, 79, 84, 89, 96, 100, 108, 113, 120, 127, 135, 140, 150, 157, 165, 173, 183, 190, 202, 210, 220, 230, 242, 250, 264, 274, 286
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
COMMENTS
|
Number of partitions of n into parts 1, 4, 6 and 9. - Ilya Gutkovskiy, May 18 2017
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1,1,-1,0,1,-2,1,0,-1,1,-1,1,0,0,1,-1).
|
|
MATHEMATICA
|
CoefficientList[Series[1/((1-x)(1-x^4)(1-x^6)(1-x^9)), {x, 0, 70}], x] (* or *) LinearRecurrence[{1, 0, 0, 1, -1, 1, -1, 0, 1, -2, 1, 0, -1, 1, -1, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 8, 9, 10, 11, 13, 14, 17, 18}, 70] (* Harvey P. Dale, Oct 09 2020 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|