A138118 Concatenation of 2n-1 digits 1 and n digits 0.

10, 11100, 11111000, 11111110000, 11111111100000, 11111111111000000, 11111111111110000000, 11111111111111100000000, 11111111111111111000000000, 11111111111111111110000000000

Offset

1,1

Comments

a(n) is also A147537(n) written in base 2. [From Omar E. Pol, Nov 08 2008]

Links

Table of n, a(n) for n=1..10.

Index entries for linear recurrences with constant coefficients, signature (1010,-10000)

Formula

O.g.f.: 10*(1+100x)/[(-1+1000x)*(-1+10x)]. a(n)=A100706(n)*10^n = 10*a(n-1)+11*1000^n. - R. J. Mathar, Apr 03 2008

Example

n .......... a(n)
1 ........... 10
2 ......... 11100
3 ....... 11111000
4 ..... 11111110000
5 ... 11111111100000

Mathematica

FromDigits/@Table[Join[PadRight[{}, 2n-1, 1], PadRight[{}, n, 0]], {n, 15}] (* Harvey P. Dale, Dec 09 2011 *)

Crossrefs

Cf. A138147, A138721.

Cf. A147537.

Sequence in context: A086164 A138119 A327233 * A267130 A267850 A267206

Adjacent sequences: A138115 A138116 A138117 * A138119 A138120 A138121

Keyword

easy,nonn,base

Author

Omar E. Pol, Mar 29 2008

Status

approved