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A081127
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11th binomial transform of (0,1,0,0,0,0,0,...).
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7
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0, 1, 22, 363, 5324, 73205, 966306, 12400927, 155897368, 1929229929, 23579476910, 285311670611, 3423740047332, 40799568897373, 483317970015034, 5696247503748615, 66835970710650416, 781145407680726737
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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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a(n) = 22*a(n-1) - 121*a(n-2), with a(0)=0, a(1)=1.
a(n) = n*11^(n-1).
G.f.: x/(1-11*x)^2.
Sum_{n>=1} 1/a(n) = 11*log(11/10).
Sum_{n>=1} (-1)^(n+1)/a(n) = 11*log(12/11). (End)
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MATHEMATICA
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PROG
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(SageMath) [11^(n-1)*n for n in range(31)] # G. C. Greubel, Jan 16 2024
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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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STATUS
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approved
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