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A042132
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Numerators of continued fraction convergents to sqrt(591).
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2
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24, 73, 316, 389, 705, 5324, 6029, 11353, 51441, 165676, 8003889, 24177343, 104713261, 128890604, 233603865, 1764117659, 1997721524, 3761839183, 17045078256, 54897073951, 2652104627904, 8011210957663, 34696948458556, 42708159416219, 77405107874775
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,331352,0,0,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: (24 +73*x +316*x^2 +389*x^3 +705*x^4 +5324*x^5 +6029*x^6 +11353*x^7 +51441*x^8 +165676*x^9 +51441*x^10 -11353*x^11 +6029*x^12 -5324*x^13 +705*x^14 -389*x^15 +316*x^16 -73*x^17 +24*x^18 -x^19)/(1 -331352*x^10 +x^20). [Bruno Berselli, Nov 17 2013]
a(n) = 331352*a(n-10) - a(n-20) for n>19. [Bruno Berselli, Nov 17 2013]
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MATHEMATICA
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CoefficientList[Series[(24 + 73 x + 316 x^2 + 389 x^3 + 705 x^4 + 5324 x^5 + 6029 x^6 + 11353 x^7 + 51441 x^8 + 165676 x^9 + 51441 x^10 - 11353 x^11 + 6029 x^12 - 5324 x^13 + 705 x^14 - 389 x^15 + 316 x^16 - 73 x^17 + 24 x^18 - x^19)/(1 - 331352 x^10 + x^20), {x, 0, 30}], x] (* Bruno Berselli, Nov 17 2013 *)
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CROSSREFS
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KEYWORD
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nonn,cofr,frac,easy,less
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AUTHOR
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STATUS
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approved
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