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Search: id:A109703
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| A109703 |
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Number of partitions of n into parts each equal to 1 mod 7. |
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+0
1
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| 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 8, 10, 11, 12, 12, 12, 12, 13, 15, 17, 18, 19, 19, 19, 20, 23, 26, 28, 29, 30, 30, 31, 34, 38, 41, 43, 44, 45, 46, 50, 55, 60, 63, 65, 66, 68, 72, 79, 85, 90, 93, 95, 97, 103, 111, 120, 127, 132, 135
(list; graph; listen)
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OFFSET
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1,8
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FORMULA
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G.f.=1/product(1-x^(1+7j), j=0..infinity)-1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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EXAMPLE
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a(15)=3 because we have 15=8+1+1+1+1+1+1+1=1+1+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+7*j), j=0..20)-1: gser:=series(g, x=0, 80): seq(coeff(gser, x, n), n=1..77); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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CROSSREFS
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Sequence in context: A111894 A025845 A029393 this_sequence A103375 A046663 A064132
Adjacent sequences: A109700 A109701 A109702 this_sequence A109704 A109705 A109706
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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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