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A036818
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Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) = cn(4,5)).
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1
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0, 1, 1, 1, 2, 2, 3, 4, 4, 8, 6, 11, 12, 14, 22, 21, 30, 36, 39, 59, 57, 80, 92, 105, 142, 148, 193, 225, 252, 334, 349, 447, 513, 582, 735, 793, 977, 1126, 1269, 1573, 1702, 2071, 2363, 2673, 3233, 3541, 4221
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OFFSET
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1,5
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COMMENTS
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For a given partition cn(i,n) means the number of its parts equal to i modulo n.
Short: (0 := 0 and 1=4).
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LINKS
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MAPLE
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c := proc(L, i, n)
option remember;
local a, p;
a := 0 ;
for p in L do
if modp(p, n) = i then
a := a+1 ;
end if;
end do:
a ;
end proc:
local a ;
a := 0 ;
for p in combinat[partition](n) do
if c(p, 0, 5) = 0 then
if c(p, 1, 5) = c(p, 4, 5) then
a := a+1 ;
end if;
end if;
end do:
a ;
end proc:
for n from 1 do
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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