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A034092 Number of partitions of n into 3 distinct parts from [ 1,39 ]. 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; refs; listen; history; text; internal format)
OFFSET
0,9
COMMENTS
Useful for lottery players playing TAKE 5 in NY (1...39).
LINKS
FORMULA
Coefficient of t^3 in (1+tx)(1+tx^2)(1+tx^3)...(1+tx^39).
a(n) = 0 for all n > 114. - Sean A. Irvine, Aug 02 2020
EXAMPLE
a(6)=1, since 6 = 1+2+3.
MATHEMATICA
CoefficientList[Coefficient[Product[1+t*x^i, {i, 39}], t^3], x] (* Ray Chandler, Dec 16 2008] *)
CROSSREFS
Sequence in context: A034162 A034163 A242678 * A211540 A001399 A069905
KEYWORD
nonn,easy,fini,full
AUTHOR
Edwin Carrasquillo (ecmail(AT)idt.net)
EXTENSIONS
Extended by Ray Chandler, Dec 16 2008
STATUS
approved

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Last modified March 19 04:26 EDT 2024. Contains 370952 sequences. (Running on oeis4.)