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A034092
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Number of partitions of n into 3 distinct parts from [ 1,39 ].
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0
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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; internal format)
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OFFSET
| 0,9
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COMMENTS
| Useful for lottery players playing TAKE 5 in NY (1...39).
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FORMULA
| Coefficient of t^3 in (1+tx)(1+tx^2)(1+tx^3)...(1+tx^39).
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EXAMPLE
| a(6)=1, since 6 = 1+2+3.
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MATHEMATICA
| CoefficientList[Coefficient[Product[1+t*x^i, {i, 39}], t^3], x] [From Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 16 2008]
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CROSSREFS
| Sequence in context: A034161 A034162 A034163 * A001399 A069905 A008761
Adjacent sequences: A034089 A034090 A034091 * A034093 A034094 A034095
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KEYWORD
| nonn,easy
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AUTHOR
| Edwin Carrasquillo (ecmail(AT)idt.net)
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EXTENSIONS
| Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 16 2008
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