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A284985
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a(0)=0, a(1)=24; for n>=2, a(n)=576*a(n-1)-a(n-2).
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1
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0, 24, 13824, 7962600, 4586443776, 2641783652376, 1521662797324800, 876475129475432424, 504848152915051751424, 290791659603940333387800, 167495491083716716979621376, 96477112072561225039928524776, 55570649058304181906281850649600
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OFFSET
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0,2
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COMMENTS
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a(n-1) and a(n+1) are the solutions for c if b=a(n) in (b^2+c^2)/(b*c+1)=576 and there are no other pairs of solutions apart from consecutive pairs of terms in this sequence.
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LINKS
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FORMULA
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a(n) = 576*a(n-1)-a(n-2).
a(n) = 12/(17*sqrt(287))*(((-1/(288+17287))^(n))+((288+(17*sqrt(287)))^(n))).
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PROG
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(PARI) concat(0, Vec(24*x/(1-576*x+x^2) + O(x^20))) \\ Colin Barker, Apr 10 2017
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CROSSREFS
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KEYWORD
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nonn,easy,less
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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