A029071 - OEIS

A029071

Expansion of 1/((1-x)(1-x^4)(1-x^6)(1-x^9)).

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

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OFFSET

0,5

COMMENTS

Number of partitions of n into parts 1, 4, 6 and 9. - Ilya Gutkovskiy, May 18 2017

LINKS

Table of n, a(n) for n=0..62.

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

Sequence in context: A347609 A143738 A337766 * A117144 A104408 A008718

Adjacent sequences: A029068 A029069 A029070 * A029072 A029073 A029074

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved