cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A130875 Absolute difference of final digits of two consecutive cubes.

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%I A130875 #20 Dec 12 2023 09:38:39
%S A130875 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,
%T A130875 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,
%U A130875 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
%N A130875 Absolute difference of final digits of two consecutive cubes.
%C A130875 Periodic with period 10.
%H A130875 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,1).
%F A130875 a(n) = a(n-10). - _Colin Barker_, Dec 04 2014
%F A130875 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
%t A130875 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 *)
%t A130875 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 *)
%o A130875 (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
%Y A130875 Cf. A008960.
%K A130875 base,easy,nonn
%O A130875 1,2
%A A130875 _Giovanni Teofilatto_, Jul 25 2007