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A109708 Number of partitions of n into parts each equal to 6 mod 7. +0
1
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; listen)
OFFSET

1,26

FORMULA

G.f.=1/product(1-x^(6+7j), j=0..infinity)-1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006

EXAMPLE

a(45)=3 because we have 45=27+6+6+6=20+13+6+6=13+13+13+6.

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

CROSSREFS

Sequence in context: A115953 A143379 A136567 this_sequence A035468 A051777 A107628

Adjacent sequences: A109705 A109706 A109707 this_sequence A109709 A109710 A109711

KEYWORD

nonn

AUTHOR

Erich Friedman (efriedma(AT)stetson.edu), Aug 07 2005

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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