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A060027 Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 8. 7
1, 0, 1, 1, 2, 2, 4, 4, 6, 6, 9, 9, 13, 12, 16, 15, 18, 15, 18, 12, 12, 2, -3, -20, -31, -59, -81, -122, -160, -222, -280, -369, -457, -581, -708, -878, -1055, -1286, -1528, -1833, -2158, -2559, -2985, -3504, -4059, -4721, -5433, -6271, -7172, -8224, -9355, -10660, -12067 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Difference of the number of partitions of n+7 into 7 parts and the number of partitions of n+7 into 8 parts. - Wesley Ivan Hurt, Apr 16 2019

LINKS

Table of n, a(n) for n=0..52.

P. A. MacMahon, Perpetual reciprocants, Proc. London Math. Soc., 17 (1886), 139-151; Coll. Papers II, pp. 584-596.

Index entries for sequences related to partitions

FORMULA

a(n) = A026813(n+7) - A026814(n+7). - Wesley Ivan Hurt, Apr 16 2019

MATHEMATICA

With[{nn=8}, CoefficientList[Series[(1-x-x^nn)/Times@@(1-x^Range[nn]), {x, 0, 60}], x]] (* Harvey P. Dale, May 15 2016 *)

CROSSREFS

Cf. A026813, A026814.

Cf. For other values of N: A060022 (N=3), A060023 (N=4), A060024 (N=5), A060025 (N=6), A060026 (N=7), this sequence (N=8), A060028 (N=9), A060029 (N=10).

Sequence in context: A008642 A001364 A029010 * A001362 A001310 A328422

Adjacent sequences:  A060024 A060025 A060026 * A060028 A060029 A060030

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane, Mar 17 2001

STATUS

approved

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Last modified October 18 10:39 EDT 2019. Contains 328147 sequences. (Running on oeis4.)