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A274254
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Number of partitions of n^11 into at most three parts.
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5
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1, 1, 350550, 2615176875, 1466017600854, 198682173665365, 10968475501587457, 325818421703912376, 6148914695531484502, 82064241864324799212, 833333333383333333334, 6783562449045969261416, 46005119909741205651457, 267653239830467338960133
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OFFSET
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0,3
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LINKS
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FORMULA
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Coefficient of x^(n^11) in 1/((1-x)*(1-x^2)*(1-x^3)).
G.f.: (1 -20*x +350738*x^2 +2607814224*x^3 +1411172155915*x^4 +168441916780374*x^5 +7099123683305188*x^6 +135099678234258306*x^7 +1347312342856212192*x^8 +7787883425074758928*x^9 +28110747299021064172*x^10 +67156060497799730456*x^11 +111034930795496260254*x^12 +130841757853019123380*x^13 +111034930795581623376*x^14 +67156060497892295980*x^15 +28110747298805651529*x^16 +7787883425149430772*x^17 +1347312342924772018*x^18 +135099678177816904*x^19 +7099123689451223*x^20 +168441921705222*x^21 +1411171249180*x^22 +2607681186*x^23 +348502*x^24) / ((1 -x)^23*(1 +x)*(1 +x +x^2)).
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PROG
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(PARI)
\\ b(n) is the coefficient of x^n in the g.f. 1/((1-x)*(1-x^2)*(1-x^3)).
b(n) = round(real((47+9*(-1)^n + 8*exp(-2/3*I*n*Pi) + 8*exp((2*I*n*Pi)/3) + 36*n+6*n^2)/72))
vector(50, n, n--; b(n^11))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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