|
Search: id:A034092
|
|
|
| A034092 |
|
Number of partitions of n into 3 distinct parts from [ 1,39 ]. |
|
+0
1
|
|
| 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, 27, 30, 33, 37, 40, 44, 48, 52, 56, 61, 65, 70, 75, 80, 85, 91, 96, 102, 108, 114, 120, 127, 132, 138, 143, 148, 152, 157, 160, 164, 167, 170, 172, 175, 176, 178, 179, 180, 180, 181, 180, 180, 179, 178
(list; graph; listen)
|
|
|
OFFSET
|
0,9
|
|
|
COMMENT
|
Useful for lottery players playing TAKE 5 in NY (1...39).
|
|
FORMULA
|
Coefficient of t^3 in (1+tx)(1+tx^2)(1+tx^3)...(1+tx^39).
|
|
EXAMPLE
|
a(6)=1, since 6 = 1+2+3.
|
|
MATHEMATICA
|
CoefficientList[Coefficient[Product[1+t*x^i, {i, 39}], t^3], x] [From Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 16 2008]
|
|
CROSSREFS
|
Sequence in context: A034161 A034162 A034163 this_sequence A001399 A069905 A008761
Adjacent sequences: A034089 A034090 A034091 this_sequence A034093 A034094 A034095
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Edwin Carrasquillo (ecmail(AT)idt.net)
|
|
EXTENSIONS
|
Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 16 2008
|
|
|
Search completed in 0.002 seconds
|
