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A316076
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Sequence shifts left four places under Weigh transform with a(n) = signum(n) for n<4.
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3
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0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6, 8, 12, 18, 26, 39, 58, 88, 133, 202, 308, 472, 725, 1116, 1725, 2669, 4141, 6437, 10027, 15643, 24448, 38265, 59979, 94143, 147953, 232799, 366725, 578311, 912913, 1442503, 2281429, 3611406, 5721528, 9071789, 14394837
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OFFSET
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0,8
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LINKS
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FORMULA
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G.f.: x + x^2 + x^3 + x^4 * Product_{n>=1} (1 + x^n)^a(n). - Ilya Gutkovskiy, May 09 2019
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MAPLE
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b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(binomial(a(i), j)*b(n-i*j, i-1), j=0..n/i)))
end:
a:= n-> (k-> `if`(n<k, signum(n), b(n-k$2)))(4):
seq(a(n), n=0..45);
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CROSSREFS
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KEYWORD
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nonn,eigen
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AUTHOR
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STATUS
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approved
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