login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A168037 Period length 18: repeat 0,1,2,0,8,7,0,4,5,0,5,4,0,7,8,0,2,1. 0
0, 1, 2, 0, 8, 7, 0, 4, 5, 0, 5, 4, 0, 7, 8, 0, 2, 1, 0, 1, 2, 0, 8, 7, 0, 4, 5, 0, 5, 4, 0, 7, 8, 0, 2, 1, 0, 1, 2, 0, 8, 7, 0, 4, 5, 0, 5, 4, 0, 7, 8, 0, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Represents also the decimal expansion of 447668335336223/37037037037037037.

LINKS

Table of n, a(n) for n=0..53.

FORMULA

a(n) = A129194(n) mod 9.

a(n) = a(n-18).

a(n+1) = a(17-n), 0<=n<= 16, palindromic.

G.f. ( -x*(1+2*x+8*x^3+7*x^4+4*x^6+5*x^7+5*x^9+4*x^10+7*x^12+8*x^13+2*x^15+x^16) ) / ( (x-1)*(1+x+x^2)*(1+x^3+x^6)*(1+x)*(1-x+x^2)*(1-x^3+x^6) ). - R. J. Mathar, Jan 22 2011

a(n)=(1/306)*{23*(n mod 18)+23*[(n+1) mod 18]-28*[(n+2) mod 18]+142*[(n+3) mod 18]-11*[(n+4) mod 18]-113*[(n+5) mod 18]+74*[(n+6) mod 18]+23*[(n+7) mod 18]-79*[(n+8) mod 18]+91*[(n+9) mod 18]-11*[(n+10) mod 18]-62*[(n+11) mod 18]+125*[(n+12) mod 18]+23*[(n+13) mod 18]-130*[(n+14) mod 18]+40*[(n+15) mod 18] -11*[(n+16) mod 18]-11*[(n+17) mod 18]}, with n>=0 [From Paolo P. Lava, Nov 18 2009]

MATHEMATICA

PadRight[{}, 60, {0, 1, 2, 0, 8, 7, 0, 4, 5, 0, 5, 4, 0, 7, 8, 0, 2, 1}] (* Harvey P. Dale, Jan 17 2021 *)

CROSSREFS

Cf. A154811.

Sequence in context: A243443 A096609 A318136 * A019658 A021483 A011015

Adjacent sequences:  A168034 A168035 A168036 * A168038 A168039 A168040

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Nov 17 2009

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 23 17:37 EDT 2021. Contains 348215 sequences. (Running on oeis4.)