|
Search: id:A110549
|
|
|
| A110549 |
|
Periodic {1,2,4,3,3,4,2,1}. |
|
+0
5
|
|
| 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1, 1, 2, 4, 3, 3, 4, 2, 1
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Permutation of {1,2,3,4} followed by its reversal, repeated.
|
|
FORMULA
|
G.f.: (1+x+3x^2+3x^3+x^4+x^5)/(1-x+x^2-x^3+x^4-x^5+x^6-x^7); a(n)=a(n-1)-a(n-2)+a(n-3)-a(n-4)+a(n-5)-a(n-6)+a(n-7); a(n)=cos(3*pi*n/4+pi/4)/2+(1/2-sqrt(2)/2)*sin(3*pi*n/4+pi/4)-(1/2+sqrt(2)/2)*cos(pi*n/4+pi/4) -sin(pi*n/4+pi/4)/2-cos(pi*n/2)/2+sin(pi*n/2)/2+5/2; a(n)=1+A105198(n).
a(n)=(1/56)*{5*(n mod 8)+12*[(n+1) mod 8]+19*[(n+2) mod 8]-2*[(n+3) mod 8]+5*[(n+4) mod 8]+12*[(n+5) mod 8]-9*[(n+6) mod 8]-4*[(n+7) mod 8]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 11 2007
|
|
CROSSREFS
|
Adjacent sequences: A110546 A110547 A110548 this_sequence A110550 A110551 A110552
Sequence in context: A099066 A021415 A137363 this_sequence A069655 A004574 A073127
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Jul 26 2005
|
|
|
Search completed in 0.002 seconds
|
