This site is supported by donations to The OEIS Foundation.

User:Mokhtar Mohamed

From OeisWiki
Jump to: navigation, search
I would introduce a sequence of integer numbers with a first row of ratios and a second row of    constant ratio.   I would refer to it as THE GEOMETRIC-GEOMETRIC SEQUENCE.
Generating Function;   a(n)= a.*r(1)^n*r(2)^C[n,2],      r(1)is the first term of the first row  of ratios and r(2)is the constant ratio 
       
        a.      a(1)      a(2)      a(3)      a(4)      ....      a(n)      ......
           r(1)      ....      ....      ....      ....        first row of ratios (variable)
                r(2)      r(2)      r(2)      r(2)                 second row of constant ratio 
  
    first row of ratios  r(1), r(1)*r(2), r(1)*r(2)^2, r(1)*r(2)^3, .....                   ,
    Hence the original sequence becomes   a., a.*r(1), a.*r(1)^2*r(2), a.*r(1)^3*r(2)^(3),  
    a.*r(1)^4*r(2)^(6), ...., a.*r(1)^n*r(2)^C[n,2], ......