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A319399
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Number of partitions of n into exactly six positive Fibonacci numbers.
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4
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0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 4, 6, 6, 8, 8, 9, 9, 12, 10, 12, 12, 14, 13, 15, 13, 16, 15, 16, 15, 19, 16, 18, 18, 20, 18, 20, 17, 20, 17, 19, 19, 21, 21, 20, 20, 24, 21, 23, 21, 23, 22, 22, 23, 24, 23, 23, 20, 22, 21, 20, 21, 24, 22, 22, 23, 25, 25, 27, 23
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OFFSET
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0,9
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LINKS
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FORMULA
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a(n) = [x^n y^6] 1/Product_{j>=2} (1-y*x^A000045(j)).
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MAPLE
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h:= proc(n) option remember; `if`(n<1, 0, `if`((t->
issqr(t+4) or issqr(t-4))(5*n^2), n, h(n-1)))
end:
b:= proc(n, i, t) option remember; `if`(n=0, 1, `if`(i<1 or
t<1, 0, b(n, h(i-1), t)+b(n-i, h(min(n-i, i)), t-1)))
end:
a:= n-> (k-> b(n, h(n), k)-b(n, h(n), k-1))(6):
seq(a(n), n=0..120);
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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