# No subject

vdmcc w.meeussen.vdmcc at vandemoortele.be
Mon Dec 21 15:48:43 CET 1998

```hi all,

*******
PartitionQ[p] is odd and contains an extra even partition ;
series term z^p in SUM( 1-z^n, (n,1,oo) )  has coefficient (+1)

Table[1/8*(-1 + (-1)^k + 2*k)*(-3 + (-1)^k + 6*k), {k, 2, 64}]

{5,7,22,26,51,57,92,100,145,155,210,222,287,301,376,392,477,495,
590,610,715,737,852,876,1001,1027,1162,1190,1335,1365,1520,1552,
1717,1751,1926,1962,2147,2185,2380,2420,2625,2667,2882,2926,3151,
3197,3432,3480,3725,3775,4030,4082,4347,4401,4676,4732,5017,5075,
5370,5430,5735,5797,6112}
The terms
5,7,22,26,51
do not match anything in the table
*********

PartitionQ[p] is odd and contains an extra odd partition ;
series term z^p in SUM( 1-z^n, (n,1,oo) )  has coefficient (-1)

Table[1/8*(3 + (-1)^k - 6*k)*(1 + (-1)^k - 2*k), {k, 64}]

{1,2,12,15,35,40,70,77,117,126,176,187,247,260,330,345,425,442,
532,551,651,672,782,805,925,950,1080,1107,1247,1276,1426,1457,
1617,1650,1820,1855,2035,2072,2262,2301,2501,2542,2752,2795,3015,
3060,3290,3337,3577,3626,3876,3927,4187,4240,4510,4565,4845,4902,
5192,5251,5551,5612,5922,5985}
The terms
1,2,12,15,35,40
do not match anything in the table

merryXmass,

w.meeussen.vdmcc at vandemoortele.be
tel  +32 (0) 51 33 21 11
fax +32 (0) 51 33 21 75

```