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A131036 First differences of A131711. 0
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 (list; graph; refs; listen; history; text; internal format)
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).

a(n) = (1/6)*{-(n mod 12)-3*[(n+1) mod 12]+5*[(n+2) mod 12]-3*[(n+3) mod 12]+[(n+4) mod 12]+5*[(n+5) mod 12]-9*[(n+6) mod 12]+8*[(n+7) mod 12]-5*[(n+8) mod 12]+3*[(n+9) mod 12]-[(n+10) mod 12]}, with n>=0 - Paolo P. Lava, Jul 03 2008

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: A177936 A337975 A143088 * 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

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Last modified April 22 22:19 EDT 2021. Contains 343197 sequences. (Running on oeis4.)