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A206739
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G.f.: 1/(1 - x/(1 - x^4/(1 - x^9/(1 - x^16/(1 - x^25/(1 - x^36/(1 -...- x^(n^2)/(1 -...))))))), a continued fraction.
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1
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1, 1, 1, 1, 1, 2, 3, 4, 5, 7, 10, 14, 19, 26, 37, 52, 72, 99, 138, 193, 269, 373, 518, 722, 1006, 1399, 1944, 2705, 3766, 5241, 7290, 10141, 14112, 19638, 27323, 38012, 52889, 73593, 102398, 142470, 198225, 275809, 383760, 533954, 742923, 1033685, 1438254
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OFFSET
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0,6
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LINKS
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Table of n, a(n) for n=0..46.
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EXAMPLE
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G.f.: A(x) = 1 + x + x^2 + x^3 + x^4 + 2*x^5 + 3*x^6 + 4*x^7 + 5*x^8 +...
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PROG
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(PARI) {a(n)=local(CF=1+x*O(x^n), M=sqrtint(n+1)); for(k=0, M, CF=1/(1-x^((M-k+1)^2)*CF)); polcoeff(CF, n, x)}
for(n=0, 55, print1(a(n), ", "))
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CROSSREFS
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Cf. A206740.
Sequence in context: A017898 A003269 A087221 * A107586 A206737 A212463
Adjacent sequences: A206736 A206737 A206738 * A206740 A206741 A206742
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Feb 12 2012
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STATUS
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approved
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