login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A022522 Nexus numbers (n+1)^6-n^6. 11
1, 63, 665, 3367, 11529, 31031, 70993, 144495, 269297, 468559, 771561, 1214423, 1840825, 2702727, 3861089, 5386591, 7360353, 9874655, 13033657, 16954119, 21766121, 27613783, 34655985, 43067087, 53037649, 64775151, 78504713, 94469815, 112933017, 134176679 (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

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Nexus Number

Index to sequences with linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

G.f.: (x+1)*(x^4+56*x^3+246*x^2+56*x+1) / (x-1)^6. - Colin Barker, Dec 21 2012

a(n) = A005408(n) * A243201(n). - Mathew Englander, Jun 06 2014

a(n) = A001014(n+1) - A001014(n). - Wesley Ivan Hurt, Jun 06 2014

MAPLE

A022522:=n->(n + 1)^6 - n^6; seq(A022522(n), n=0..30); # Wesley Ivan Hurt, Jan 30 2014

MATHEMATICA

lst={}; Do[a=n^3; b=(n+1)^3; s=(a+b)*(b-a); AppendTo[lst, s], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 23 2009 *)

Table[(n+1)^6-n^6, {n, 0, 30}] (* Vincenzo Librandi, Nov 22 2011 *)

PROG

(MAGMA) [(n+1)^6-n^6: n in [0..30]]; // Vincenzo Librandi, Nov 22 2011

CROSSREFS

A row of A047969.

Beginning with n=1, a subsequence of A181125 (difference of two positive 6th powers). - Mathew Englander, Jun 01 2014

Sequence in context: A228262 A181125 A228221 * A152731 A090028 A152725

Adjacent sequences:  A022519 A022520 A022521 * A022523 A022524 A022525

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 14 1998

EXTENSIONS

More terms from Colin Barker, Dec 21 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 23 19:50 EST 2014. Contains 249865 sequences.