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A369116
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Expansion of (1 - x)^2 * Sum_{j>=0} (x^j / (1 - Sum_{k=1..j} x^k)).
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2
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1, -1, 1, 0, 1, 1, 3, 4, 9, 15, 29, 53, 100, 186, 352, 663, 1257, 2387, 4547, 8678, 16602, 31818, 61092, 117486, 226277, 436403, 842731, 1629297, 3153466, 6109704, 11848634, 22998892, 44680016, 86869392, 169024094, 329110519, 641254825, 1250261783, 2439155631
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OFFSET
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0,7
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COMMENTS
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Considering more generally the family of generating functions (1 - x)^n * Sum_{j>=0} (x^j / (1 - Sum_{k=1..j} x^k)) one finds several sequences related to compositions as indicated in the cross-references.
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LINKS
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FORMULA
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MAPLE
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gf := (1 - x)^2 * add(x^j / (1 - add(x^k, k = 1..j)), j = 0..42):
ser := series(gf, x, 40): seq(coeff(ser, x, k), k = 0..38);
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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