A131036 First differences of A131711.

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

0,3

Comments

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

Links

Table of n, a(n) for n=0..47.

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

Formula

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)

Mathematica

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

Crossrefs

Cf. A131711.

Sequence in context: A337975 A143088 A360875 * A331788 A206433 A301589

Adjacent sequences: A131033 A131034 A131035 * A131037 A131038 A131039

Keyword

sign

Author

Paul Curtz, Sep 23 2007

Extensions

Edited by R. J. Mathar, Jul 07 2008

Status

approved