A152756 Bisection of A000533.

1, 101, 10001, 1000001, 100000001, 10000000001, 1000000000001, 100000000000001, 10000000000000001, 1000000000000000001, 100000000000000000001, 10000000000000000000001

Offset: 1

Author

Omar E. Pol, Dec 13 2008

Keywords

• easy
• nonn
• less

Comments

a(1)=1, for n>1, a(n) is the concatenation of "1", 2(n-1)-1 digits "0" and "1". - Omar E. Pol, Dec 14 2008

Examples

			n ..... a(n)
1 ....... 1
2 ...... 101
3 ..... 10001
4 .... 1000001
5 ... 100000001
		

Links

• Index entries for linear recurrences with constant coefficients, signature (101,-100).

Crossrefs

Cf. A000533, A135577, A138120, A138146.

Programs

Magma

[1] cat [10^(2*n)+1: n in [1..15]]; // Vincenzo Librandi, Jul 27 2014

Mathematica

A152756[n_] := If[n == 1, 1, 100^(n-1) + 1]; Array[A152756, 20] (* or *)
LinearRecurrence[{101, -100}, {1, 101, 10001}, 20] (* Paolo Xausa, Oct 05 2024 *)

Formula

Except the first term, a(n)=10^(2n-2)+1. - Robert G. Wilson v, Dec 14 2008

G.f.: x*(1-100*x^2)/(1-x)/(1-100*x). - Robert Israel, Jul 27 2014