|
Search: id:A103260
|
|
|
| A103260 |
|
Number of partitions of 2n prime to 3 with all odd parts occurring with multiplicity 2. The even parts occur with multiplicity 1. |
|
+0
1
|
|
| 1, 2, 2, 2, 2, 4, 6, 8, 10, 10, 12, 16, 22, 28, 32, 36, 42, 52, 66, 80, 92, 104, 120, 144, 174, 206, 236, 266, 304, 356, 420, 488, 554, 624, 708, 816, 946, 1084, 1224, 1372, 1548, 1764, 2016, 2288, 2568, 2868, 3216, 3632, 4110
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
This is also the sequence A098884/A003105.
|
|
REFERENCES
|
Noureddine Chair, Partition Identities From Partial Supersymmetry.
|
|
FORMULA
|
G.f.: (Theta_4(0, x^2)*theta_4(0, x^3))/(theta_4(0, x)*theta_4(0, x^(6))) = Product_{k>0}((1+x^(6*k-1))*(1+x^(6*k-5)))/((1-x^(6*k-1))*(1-x^(6*k-5))).
Euler transform of period 12 sequence [2, -1, 0, 0, 2, 0, 2, 0, 0, -1, 2, 0, ...]. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 17 2005
|
|
EXAMPLE
|
E.g. a(14)=8 because 14=10+4=10+2+1+1=8+4+2=8+4+1+1=7+7=5+5+4=5+5+2+1+1.
|
|
MAPLE
|
series(product(((1+x^(6*k-1))*(1+x^(6*k-5)))/((1-x^(6*k-1))*(1-x^(6*k-5))), k=1..100), x=0, 100);
|
|
CROSSREFS
|
Cf. A003105, A098884 and A080054.
Adjacent sequences: A103257 A103258 A103259 this_sequence A103261 A103262 A103263
Sequence in context: A097198 A126663 A032600 this_sequence A060824 A064849 A132189
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Noureddine Chair (n.chair(AT)rocketmail.com), Feb 15 2005
|
|
|
Search completed in 0.002 seconds
|
