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A109708
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Number of partitions of n into parts each equal to 6 mod 7.
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0
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0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 3, 3, 1, 1, 1, 2, 3, 4, 3, 2, 1, 2, 3, 5, 5, 5, 2, 2, 3, 5, 6, 8, 5, 3, 3, 5, 7, 10, 9, 7, 4, 5, 7, 11, 12, 12, 8, 6, 7, 12, 14, 17, 15, 11, 8, 12, 15, 20, 21, 19, 13, 13, 16, 22, 26, 28, 23
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,26
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FORMULA
| G.f.=1/product(1-x^(6+7j), j=0..infinity)-1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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EXAMPLE
| a(45)=3 because we have 45=27+6+6+6=20+13+6+6=13+13+13+6.
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MAPLE
| g:=1/product(1-x^(6+7*j), j=0..20)-1: gser:=series(g, x=0, 98): seq(coeff(gser, x, n), n=1..95); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
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CROSSREFS
| Sequence in context: A204770 A143379 A136567 * A035468 A051777 A107628
Adjacent sequences: A109705 A109706 A109707 * A109709 A109710 A109711
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KEYWORD
| nonn
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AUTHOR
| Erich Friedman (efriedma(AT)stetson.edu), Aug 07 2005
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