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A152764 Bisection of A138144. 3
1, 111, 11011, 1100011, 110000011, 11000000011, 1100000000011, 110000000000011, 11000000000000011, 1100000000000000011, 110000000000000000011, 11000000000000000000011 (list; graph; refs; listen; history; text; internal format)
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

a(n) = 11+11000*100^(n-3)-(111/10)*{C[2*(n-1),n-1] mod 2}-10*{C[2*(n-2),n-2] mod 2}, with n>=1 [From Paolo P. Lava, Dec 23 2008]

a(n) = 11+11*10^(2*n-3) for n>2. a(n) = 101*a(n-1)-100*a(n-2) for n>4. G.f.: -x*(10*x-1)*(10*x+1)^2 / ((x-1)*(100*x-1)). [Colin Barker, Sep 16 2013]

EXAMPLE

n ...... a(n)

1 ....... 1

2 ...... 111

3 ..... 11011

4 .... 1100011

5 ... 110000011

PROG

(PARI) Vec(-x*(10*x-1)*(10*x+1)^2/((x-1)*(100*x-1)) + O(x^100)) \\ Colin Barker, Sep 16 2013

CROSSREFS

Cf. A135577, A138120, A138146, A152756, A152758, A058764.

Sequence in context: A287191 A245549 A266809 * A249183 A071033 A267364

Adjacent sequences:  A152761 A152762 A152763 * A152765 A152766 A152767

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Dec 14 2008

STATUS

approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)