The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A130875 Absolute difference of final digits of two consecutive cubes. 0
1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1, 1, 3, 1, 7, 9, 1, 7, 1, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Periodic with period 10.
LINKS
FORMULA
a(n) = a(n-10). - Colin Barker, Dec 04 2014
G.f.: -x*(9*x^9+7*x^8+x^7+3*x^6+x^5+x^4+3*x^3+x^2+7*x+1) / ((x-1)*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)). - Colin Barker, Dec 04 2014
MATHEMATICA
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 7, 1, 3, 1, 1, 3, 1, 7, 9}, 105] (* Ray Chandler, Aug 26 2015 *)
Abs[Differences[Mod[#, 10]]]&/@Partition[Range[0, 120]^3, 2, 1]//Flatten (* or *) PadRight[{}, 120, {1, 7, 1, 3, 1, 1, 3, 1, 7, 9}] (* Harvey P. Dale, Oct 27 2019 *)
PROG
(PARI) Vec(-x*(9*x^9+7*x^8+x^7+3*x^6+x^5+x^4+3*x^3+x^2+7*x+1)/((x-1)*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)) + O(x^100)) \\ Colin Barker, Dec 04 2014
CROSSREFS
Cf. A008960.
Sequence in context: A266985 A286912 A239807 * A370112 A200923 A317830
KEYWORD
base,easy,nonn
AUTHOR
Giovanni Teofilatto, Jul 25 2007
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 10:34 EDT 2024. Contains 372760 sequences. (Running on oeis4.)