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A029077
Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^12)).
1
1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 7, 7, 8, 9, 11, 11, 12, 14, 16, 17, 18, 20, 23, 24, 26, 28, 32, 33, 35, 38, 42, 44, 46, 50, 55, 57, 60, 64, 70, 72, 76, 81, 87, 90, 94, 100, 107, 111, 116, 122, 130, 134, 140, 147, 156, 161, 167, 175, 185, 191, 198, 207, 218
OFFSET
0,5
COMMENTS
Number of partitions of n into parts 1, 4, 7 and 12. - Ilya Gutkovskiy, May 18 2017
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1,0,1,-1,0,0,-1,2,-1,0,0,-1,1,0,-1,1,0,0,1,-1).
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-x^4)(1-x^7)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{1, 0, 0, 1, -1, 0, 1, -1, 0, 0, -1, 2, -1, 0, 0, -1, 1, 0, -1, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 7, 7, 8, 9, 11, 11, 12, 14, 16, 17, 18, 20}, 80] (* Harvey P. Dale, Jun 08 2019 *)
CROSSREFS
Sequence in context: A308303 A285763 A294621 * A112176 A112205 A369573
KEYWORD
nonn
AUTHOR
STATUS
approved