OFFSET
0,1
COMMENTS
For n > 2, decimals given by base 2 pattern: 101...zeros...101.
The ratio between a(n) and a(n+1) tends to 1/2.
Sum(1/a(i), i=0..infinity) = ( psi_2^(0)( 1 - i*Pi/log(2) ) + i*Pi ) / log(32) = 0.252899956069688841838263949451..., where psi_q^(m)(.) is the m-th derivative of the q-digamma function. [Bruno Berselli, Nov 15 2013]
LINKS
FORMULA
a(n) = 5*A000051(n). - Philippe Deléham, Nov 15 2013
G.f.: 5*(2-3*x)/((1-x)*(1-2*x)). - Philippe Deléham, Nov 15 2013
a(n) = 3*a(n-1)-2*a(n-2) for n>1, a(0)=10, a(1)=15. - Philippe Deléham, Nov 15 2013
MATHEMATICA
Table[5*2^n + 5, {n, 0, 50}] (* T. D. Noe, Nov 15 2013 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Przemyslaw Wcislo, Nov 12 2013
STATUS
approved