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A022526
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Nexus numbers (n+1)^10-n^10.
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6
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1, 1023, 58025, 989527, 8717049, 50700551, 222009073, 791266575, 2413042577, 6513215599, 15937424601, 35979939623, 75941127625, 151396163127, 287395735649, 522861237151, 916482272673, 1554473326175, 2560599031177, 4108933742199, 6439880978201, 9880041813223
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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 (10,-45,120,-210,252,-210,120,-45,10,-1).
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FORMULA
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G.f.: (x +1)*(x^8 +1012*x^7 +46828*x^6 +408364*x^5 +901990*x^4 +408364*x^3 +46828*x^2 +1012*x +1) / (x -1)^10. - Colin Barker, Dec 22 2012
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MAPLE
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b:=10: 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)^10 - n^10, ", ")) \\ 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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EXTENSIONS
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STATUS
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approved
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