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A022531
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Nexus numbers (n+1)^15 - n^15.
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2
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1, 32767, 14316139, 1059392917, 29443836301, 439667406451, 4277376525367, 30436810578889, 170706760005817, 794108867905351, 3177248169415651, 11229773405170717, 35778871439504389, 104382202543721467, 282325794823047151, 715027614225987601, 1709501546902968817
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OFFSET
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0,2
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REFERENCES
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John H. Conway and Richard K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.
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LINKS
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FORMULA
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G.f.: ( -1 - 32752*x - 13824739*x^2 - 848090912*x^3 - 15041229521*x^4 - 102776998928*x^5 - 311387598411*x^6 - 447538817472*x^7 - 311387598411*x^8 - 102776998928*x^9 - 15041229521*x^10 - 848090912*x^11 - 13824739*x^12 - 32752*x^13 - x^14 ) / (x - 1)^15. - R. J. Mathar, Sep 02 2016
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MAPLE
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b:=15: 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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#[[2]]-#[[1]]&/@Partition[Range[0, 20]^15, 2, 1] (* Harvey P. Dale, Aug 07 2022 *)
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PROG
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(PARI) for(n=0, 20, print1((n+1)^15 - n^15, ", ")) \\ 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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