|
| |
|
|
A138721
|
|
Concatenation of n digits 1, n digits 0 and n digits 1.
|
|
14
| |
|
|
101, 110011, 111000111, 111100001111, 111110000011111, 111111000000111111, 111111100000001111111, 111111110000000011111111, 111111111000000000111111111, 111111111100000000001111111111
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| a(n) is also A145641(n) written in base 2. [From Omar E. Pol (info(AT)polprimos.com), Oct 15 2008]
a(n) has 3n digits. [From Omar E. Pol (info(AT)polprimos.com), Nov 12 2008]
|
|
|
FORMULA
| a(n+1)=1000*[a(n)-(10^n-1)/9]+10^(2*n+2)+[10^(n+1)-1]/9, with a(0)=101 and n>=1. - Paolo P. Lava (paoloplava(AT)gmail.com), Apr 16 2008
a(n)=-(1/9)+(10/9)*10^n-(100/9)*100^n+(1000/9)*1000^n, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Oct 09 2008]
|
|
|
EXAMPLE
| Contribution from Omar E. Pol (info(AT)polprimos.com), Nov 12 2008: (Start)
n ....... Successive digits of a(n)
1 ............... ( 1 0 1 )
2 ............ ( 1 1 0 0 1 1 )
3 ......... ( 1 1 1 0 0 0 1 1 1 )
4 ...... ( 1 1 1 1 0 0 0 0 1 1 1 1 )
5 ... ( 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 )
(End)
|
|
|
MAPLE
| P:=proc(n) local a, i; a:=101; print(a); for i from 1 by 1 to n do a:=(a-(10^i-1)/9)*1000+10^(2*i+2)+(10^(i+1)-1)/9; print(a); od; end: P(100); - Paolo P. Lava (paoloplava(AT)gmail.com), Apr 16 2008
|
|
|
CROSSREFS
| Cf. A145641. [From Omar E. Pol (info(AT)polprimos.com), Oct 15 2008]
Cf. A000533, A135577, A138120, A138144, A138145, A138146, A138826, A147757, A147759. [From Omar E. Pol (info(AT)polprimos.com), Nov 12 2008]
Sequence in context: A183056 A076127 A180053 * A015078 A031982 A015041
Adjacent sequences: A138718 A138719 A138720 * A138722 A138723 A138724
|
|
|
KEYWORD
| base,easy,nonn
|
|
|
AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Mar 29 2008
|
| |
|
|
