A034092 Number of partitions of n into 3 distinct parts from [ 1,39 ].

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

Offset

0,9

Comments

Useful for lottery players playing TAKE 5 in NY (1...39).

Links

Sean A. Irvine, Table of n, a(n) for n = 0..114

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

Adjacent sequences: A034089 A034090 A034091 * A034093 A034094 A034095

Keyword

nonn,easy,fini,full

Author

Edwin Carrasquillo (ecmail(AT)idt.net)

Extensions

Extended by Ray Chandler, Dec 16 2008

Status

approved