|
Search: id:A033128
|
|
|
| A033128 |
|
Base 10 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,1. |
|
+0
1
|
|
| 1, 10, 101, 1011, 10110, 101101, 1011011, 10110110, 101101101, 1011011011, 10110110110, 101101101101, 1011011011011, 10110110110110, 101101101101101, 1011011011011011
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
a(n)=10*a(n-1)+(1/9)*{-(n mod 3)+5*[(n+1) mod 3]+2*[(n+2) mod 3]}, with a(0)=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 30 2009]
a(n)= 10*a(n-1) +a(n-3) -10*a(n-4). G.f.: x*(1+x^2)/((x-1) * (10*x-1) * (1+x+x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 05 2009]
|
|
CROSSREFS
|
Sequence in context: A123522 A056830 A096883 this_sequence A094945 A041041 A163461
Adjacent sequences: A033125 A033126 A033127 this_sequence A033129 A033130 A033131
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
Clark Kimberling (ck6(AT)evansville.edu)
|
|
|
Search completed in 0.002 seconds
|
