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A144942
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Expansion of x^2*(3*x^3+145*x^2-507*x-25) / ((x-1)*(x^2-34*x+1)*(x^2+34*x+1)).
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1
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0, 25, 532, 29237, 614312, 33739857, 708915900, 38935766125, 818088334672, 44931840368777, 944073229295972, 51851304849802917, 1089459688519217400, 59836360864832197825, 1257235536477947584012, 69051108586711506487517, 1450848719635862992732832
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OFFSET
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1,2
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COMMENTS
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Also the index of the first of two consecutive pentagonal numbers whose sum is also a pentagonal number. - Colin Barker, Dec 22 2014
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LINKS
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MATHEMATICA
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CoefficientList[Series[x (3 x^3 + 145 x^2 - 507 x - 25)/((x - 1) (x^2 - 34 x + 1) (x^2 + 34 x + 1)), {x, 0, 20}], x] (* Vincenzo Librandi, Oct 20 2014 *)
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PROG
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(PARI) concat(0, Vec(x^2*(3*x^3+145*x^2-507*x-25)/((x-1)*(x^2-34*x+1)*(x^2+34*x+1)) + O(x^20))) \\ Colin Barker, Oct 20 2014
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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a(6) corrected, and more terms from Colin Barker, Oct 20 2014
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STATUS
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approved
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