OFFSET
1,1
COMMENTS
Identity: 3^x/2^(-Log[2]/Log[2] + (Log[3]/Log[2]) x)==2 More inclusive Identity: ( any a0,b0,x) a0^x/b0^(-Log[2]/Log[b0] + (Log[a0]/Log[b0]) x)==2 This sequence is based on the traditional Pythagorean musical scale.
FORMULA
{n,m}: If m=-Log[2]/Log[2] + (Log[3]/Log[2])*n is 1% from the Integer m
EXAMPLE
{12, 18, 2.02729},
{41, 64, 1.97721},
{53, 83, 2.00418},
{94, 148, 1.98134},
{106, 167, 2.00837},
{147, 232, 1.98548},
{159, 251, 2.01257}
MATHEMATICA
g[x_] = -Log[2]/Log[2] + (Log[3]/Log[2]) x; Delete[Union[Table[Flatten[Table[If[(g[n] - 0.02) <= m && (g[n] + 0.02 >= m), {n, m}, {}], {n, 1, m}], 1], {m, 1, 300}]], 1] Flatten[%]
CROSSREFS
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, Nov 24 2007
EXTENSIONS
This appears to be a mixture of two sequences? - N. J. A. Sloane, Nov 25 2005
STATUS
approved