1,2

Bisection of A094028. [From Omar E. Pol (info(AT)polprimos.com), Nov 12 2008]

a(n) is also A144864(n) written in base 2. [From Omar E. Pol (info(AT)polprimos.com), Nov 13 2008]

Quadrisection of A147759. [From Omar E. Pol (info(AT)polprimos.com), Nov 16 2008]

Contribution from Artur Jasinski (grafix(AT)csl.pl), Sep 25 2008: (Start)

binary:

a(n) = 1/12 (-4 + 16^n)

decimal:

a(n)=1/99 (-1 + 100^(-1 + 2 n))

or recurence:

a[n+1] = 10000 a[n] + 101 and a[1]=1 (End)

a = {}; k = {1}; Do[x = FromDigits[k, 2]; AppendTo[a, FromDigits[RealDigits[x, 2]]]; AppendTo[k, 0]; AppendTo[k, 1]; PrependTo[k, 0]; PrependTo[k, 1], {n, 1, 100}]; a (*Artur Jasinski*)

Contribution from Artur Jasinski (grafix(AT)csl.pl), Sep 25 2008: (Start)

Table[FromDigits[RealDigits[1/12 (-4 + 16^n), 2]], {n, 1, 10}]

or

a = {}; k = 1; Do[AppendTo[a, k]; k = 10000 k + 101, {n, 1, 10}]; a

or

Table[1/99 (-1 + 100^(-1 + 2 n)), {n, 1, 20}] (*Artur Jasinski*) (End)

A056830, A094028, A135576

Cf. A144864, A147759. [From Omar E. Pol (info(AT)polprimos.com), Nov 13 2008]

Sequence in context: A161022 A043641 A114385 this_sequence A058042 A161786 A157711

Adjacent sequences: A144860 A144861 A144862 this_sequence A144864 A144865 A144866

base,nonn

Artur Jasinski (grafix(AT)csl.pl), Sep 23 2008