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A109705
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Number of partitions of n into parts each equal to 3 mod 7.
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0
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0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 2, 4, 2, 2, 4, 4, 2, 4, 5, 3, 4, 6, 5, 4, 6, 7, 5, 6, 8, 8, 6, 9, 11, 7, 9, 13, 10, 9, 14, 14, 10, 15, 17, 14, 15, 19, 19, 16, 20, 24, 20, 21, 27, 27, 22, 29, 33, 27, 30, 38, 35, 32, 41, 44, 37, 43, 51, 47, 45
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,20
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FORMULA
| G.f.=1/product(1-x^(3+7j), j=0..infinity)-1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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EXAMPLE
| a(20)=2 because we have 20=17+3=10+10.
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MAPLE
| g:=1/product(1-x^(3+7*j), j=0..20)-1: gser:=series(g, x=0, 90): seq(coeff(gser, x, n), n=1..87); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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CROSSREFS
| Sequence in context: A185090 A115268 A103610 * A025848 A065382 A066888
Adjacent sequences: A109702 A109703 A109704 * A109706 A109707 A109708
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KEYWORD
| nonn
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AUTHOR
| Erich Friedman (efriedma(AT)stetson.edu), Aug 07 2005
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