A164370 Sequence A005418 written in base 2.

1, 10, 11, 110, 1010, 10100, 100100, 1001000, 10001000, 100010000, 1000010000, 10000100000, 100000100000, 1000001000000, 10000001000000, 100000010000000, 1000000010000000, 10000000100000000, 100000000100000000, 1000000001000000000, 10000000001000000000, 100000000010000000000, 1000000000010000000000

Offset: 1

Author

Jaroslav Krizek, Aug 14 2009

Keywords

• nonn
• base
• less
• easy

Comments

Union of A163449, A163664 and number 10.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..995
• Index entries for linear recurrences with constant coefficients, signature (10,10,-100).

Programs

Mathematica

Rest[CoefficientList[Series[x*(800*x^4 - 99*x^2 + 1)/((10*x - 1)*(10*x^2 - 1)), {x, 0, 50}], x]] (* G. C. Greubel, Sep 17 2017 *)

PARI

A005418(n)= 2^(n-2) + 2^(n\2-1);
b2t(v)=sum(k=1,#v,v[#v+1-k]*10^(k-1));
a(n)=b2t(binary( A005418(n)));
\\ Joerg Arndt, Sep 16 2013

PARI

x='x+O('x^50); Vec(x*(800*x^4-99*x^2+1)/((10*x-1)*(10*x^2-1))) \\ G. C. Greubel, Sep 17 2017

Formula

G.f.: x*(800*x^4-99*x^2+1) / ((10*x-1)*(10*x^2-1)). - Colin Barker, Sep 23 2013

Extensions

Edited by Joerg Arndt, Sep 16 2013