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A022527
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Nexus numbers: a(n) = (n+1)^11 - n^11.
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6
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1, 2047, 175099, 4017157, 44633821, 313968931, 1614529687, 6612607849, 22791125017, 68618940391, 185311670611, 457696700077, 1049152023349, 2257404775627, 4600190689711, 8942430185041, 16679710263217, 29996513771599, 52221848818987, 88309741101781
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OFFSET
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0,2
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REFERENCES
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J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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G.f.: -(x^10 + 2036*x^9 + 152637*x^8 + 2203488*x^7 + 9738114*x^6 + 15724248*x^5 + 9738114*x^4 + 2203488*x^3 + 152637*x^2 + 2036*x + 1) / (x - 1)^11. - Colin Barker, Dec 22 2012
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MAPLE
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b:=11: a:=n->(n+1)^b-n^b: seq(a(n), n=0..18); # Muniru A Asiru, Feb 28 2018
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MATHEMATICA
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PROG
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(PARI) for(n=0, 20, print1((n+1)^11 - n^11, ", ")) \\ G. C. Greubel, Feb 27 2018
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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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