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A022527 Nexus numbers: a(n) = (n+1)^11 - n^11. 1
1, 2047, 175099, 4017157, 44633821, 313968931, 1614529687, 6612607849, 22791125017, 68618940391, 185311670611, 457696700077, 1049152023349, 2257404775627, 4600190689711, 8942430185041, 16679710263217, 29996513771599, 52221848818987, 88309741101781 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 54.

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

H. D. Nguyen, D. Taggart, Mining the OEIS: Ten Experimental Conjectures, 2013. Mentions this sequence. - From N. J. A. Sloane, Mar 16 2014

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

FORMULA

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

a(n) = A008455(n+1) - A008455(n). - Michel Marcus, Feb 28 2018

MAPLE

b:=11: a:=n->(n+1)^b-n^b: seq(a(n), n=0..18); # Muniru A Asiru, Feb 28 2018

MATHEMATICA

q=11; Table[(n+1)^q-n^q, {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Jan 23 2009 *)

Differences[Range[0, 20]^11] (* Harvey P. Dale, Jan 25 2011 *)

PROG

(MAGMA) [(n+1)^11-n^11: n in [0..40]]; // Vincenzo Librandi, Jan 26 2011

(PARI) for(n=0, 20, print1((n+1)^11 - n^11, ", ")) \\ G. C. Greubel, Feb 27 2018

CROSSREFS

Column k=10 of A047969.

Cf. A008455 (n^11).

Sequence in context: A068027 A075949 A075950 * A024009 A258812 A321556

Adjacent sequences:  A022524 A022525 A022526 * A022528 A022529 A022530

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 18 08:57 EDT 2019. Contains 326077 sequences. (Running on oeis4.)