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Search: id:A109701
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| A109701 |
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Number of partitions of n into parts each equal to 1 mod 6. |
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+0
1
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| 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 8, 10, 11, 12, 12, 12, 13, 15, 17, 18, 19, 19, 20, 23, 26, 28, 29, 30, 31, 34, 38, 41, 43, 44, 46, 50, 55, 60, 63, 65, 67, 72, 79, 85, 90, 93, 96, 102, 111, 120, 127, 132, 136, 143, 154, 166, 176, 183, 189, 198
(list; graph; listen)
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OFFSET
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1,7
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FORMULA
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G.f.=1/product(1-x^(1+6j), j=0..infinity)-1; - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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EXAMPLE
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a(10)=2 since 10 = 7+1+1+1 = 1+1+1+1+1+1+1+1+1+1
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MAPLE
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g:=1/product(1-x^(1+6*j), j=0..20)-1: gser:=series(g, x=0, 77): seq(coeff(gser, x, n), n=1..74); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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CROSSREFS
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Sequence in context: A086394 A029226 A093354 this_sequence A124751 A103374 A137722
Adjacent sequences: A109698 A109699 A109700 this_sequence A109702 A109703 A109704
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KEYWORD
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nonn
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AUTHOR
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Erich Friedman (efriedma(AT)stetson.edu), Aug 07 2005
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