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A027340
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Number of partitions of n that do not contain 6 as a part.
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1
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1, 1, 2, 3, 5, 7, 10, 14, 20, 27, 37, 49, 66, 86, 113, 146, 189, 241, 308, 389, 492, 616, 771, 958, 1190, 1468, 1809, 2218, 2716, 3310, 4029, 4884, 5913, 7133, 8592, 10318, 12373, 14795, 17666, 21042, 25028, 29700, 35197, 41624, 49160, 57949, 68220
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Also number of partitions of n where no part appears more than five times.
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FORMULA
| G.f.: (1-x^6) Product_{m>0} 1/(1-x^m).
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PROG
| (PARI) a(n)=if(n<0, 0, polcoeff((1-x^6)/eta(x+x*O(x^n)), n))
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CROSSREFS
| a(n)=A000041(n)-A000041(n-6).
Sequence in context: A035994 A036005 A104503 * A000701 A123975 A094984
Adjacent sequences: A027337 A027338 A027339 * A027341 A027342 A027343
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 10 2002
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