A131715 -id:A131715 - cp's OEIS frontend

A156551 Period 10: repeat [8,6,0,4,2,2,4,0,6,8].

8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8, 8, 6, 0, 4, 2, 2, 4, 0, 6, 8

Offset: 0

Paul Curtz, Feb 09 2009

See A131715.

Cf. A010874, A131715, A155110.

a(n) = A155110(n) mod 10.
G.f.: 2*(4*x^8-x^7+x^6+x^5+x^3+x^2-x+4)/((1-x)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)). - R. J. Mathar, Feb 23 2009
a(n) = (15*(4-m^4+8*m^3-19*m^2+12*m)-2*(m^3-6*m^2+17*m-18)*(-1)^floor(n/5))/12 where m = n-5*floor(n/5). - Luce ETIENNE, Oct 13 2017

Edited by R. J. Mathar, Feb 23 2009

More terms from Jinyuan Wang, Feb 26 2020

A131036 First differences of A131711.

Original entry on oeis.org

1, 1, 3, -3, 7, -9, 9, -1, -3, 3, -7, -1, 1, 1, 3, -3, 7, -9, 9, -1, -3, 3, -7, -1, 1, 1, 3, -3, 7, -9, 9, -1, -3, 3, -7, -1, 1, 1, 3, -3, 7, -9, 9, -1, -3, 3, -7, -1

Offset: 0

Paul Curtz, Sep 23 2007

sign

The equivalent operation on A001333 yields last digits A131707 and their first differences A131715.

Index entries for linear recurrences with constant coefficients, signature (-1,0,0,-1,-1,0,0,-1,-1).

Cf. A131711.

Differences[PadRight[{},120,{0,1,2,5,2,9,0,9,8,5,8,1}]] (* Harvey P. Dale, Dec 29 2014 *)

a(n) = a(n-12).
From Chai Wah Wu, Jan 09 2021: (Start)
a(n) = - a(n-1) - a(n-4) - a(n-5) - a(n-8) - a(n-9) for n > 8.
G.f.: (x^8 + 8*x^7 + 4*x^6 + 5*x^4 + 4*x^2 + 2*x + 1)/(x^9 + x^8 + x^5 + x^4 + x + 1). (End)

Edited by R. J. Mathar, Jul 07 2008

cp's OEIS Frontend

A156551 Period 10: repeat [8,6,0,4,2,2,4,0,6,8].

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