A144564 Bisection of A147757.

1, 101, 10101, 1011101, 101111101, 10111111101, 1011111111101, 101111111111101, 10111111111111101, 1011111111111111101, 101111111111111111101, 10111111111111111111101

Offset

1,2

Links

Table of n, a(n) for n=1..12.

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

Formula

G.f. x*(1+10*x)*(100*x^2-10*x+1)/( (100*x-1)*(x-1)) .- R. J. Mathar, Aug 24 2011

Example

n ...... a(n)
1 ....... 1
2 ...... 101
3 ..... 10101
4 .... 1011101
5 ... 101111101

Mathematica

Rest[CoefficientList[Series[x(1+10x)(100x^2-10x+1)/((100x-1)(x-1)), {x, 0, 20}], x]] (* or *) Join[{1, 101}, Table[FromDigits[Join[{1, 0}, PadRight[ {}, 2n+1, 1], {0, 1}]], {n, 0, 20}]] (* Harvey P. Dale, Dec 26 2014 *)

Crossrefs

Cf. A135577, A138120, A138146, A147757, A152756.

Sequence in context: A263244 A368417 A094028 * A261965 A255892 A065074

Adjacent sequences: A144561 A144562 A144563 * A144565 A144566 A144567

Keyword

easy,nonn,base

Author

Omar E. Pol, Dec 14 2008

Status

approved