All nacci constants starting with 1.0...

1.05705057522...
a(n) = a(n-13)+ a(n-12)
`1 = x^13 - x`
Get 10000 digits of the 1.05705057522... constant

1.05961102145...
a(n) = a(n-13)+ a(n-11)
`1 = x^13 - x^2`
Get 10000 digits of the 1.05961102145... constant

1.06216916786...
a(n) = a(n-12)+ a(n-11)
`1 = x^12 - x`
Get 10000 digits of the 1.06216916786... constant

1.06250870523...
a(n) = a(n-13)+ a(n-10)
`1 = x^13 - x^3`
Get 10000 digits of the 1.06250870523... constant

1.06582624405...
a(n) = a(n-13)+ a(n-9)
`1 = x^13 - x^4`
Get 10000 digits of the 1.06582624405... constant

1.06829718892...
a(n) = a(n-11)+ a(n-10)
`1 = x^11 - x`
Get 10000 digits of the 1.06829718892... constant

1.06967836633...
a(n) = a(n-13)+ a(n-8)
`1 = x^13 - x^5`
Get 10000 digits of the 1.06967836633... constant

1.07203255224...
a(n) = a(n-11)+ a(n-9)
`1 = x^11 - x^2`
Get 10000 digits of the 1.07203255224... constant

1.07423032257...
a(n) = a(n-13)+ a(n-7)
`1 = x^13 - x^6`
Get 10000 digits of the 1.07423032257... constant

1.07576606609...
a(n) = a(n-10)+ a(n-9)
`1 = x^10 - x`
Get 10000 digits of the 1.07576606609... constant

1.07637950368...
a(n) = a(n-11)+ a(n-8)
`1 = x^11 - x^3`
Get 10000 digits of the 1.07637950368... constant

1.07766033457...
a(n) = a(n-12)+ a(n-7)
`1 = x^12 - x^5`
Get 10000 digits of the 1.07766033457... constant

1.07973135192...
a(n) = a(n-13)+ a(n-6)
`1 = x^13 - x^7`
Get 10000 digits of the 1.07973135192... constant

1.08152908669...
a(n) = a(n-11)+ a(n-7)
`1 = x^11 - x^4`
Get 10000 digits of the 1.08152908669... constant

1.08507024549...
a(n) = a(n-9)+ a(n-8)
`1 = x^9 - x`
Get 10000 digits of the 1.08507024549... constant

1.08593791264...
a(n) = a(n-10)+ a(n-7)
`1 = x^10 - x^3`
Get 10000 digits of the 1.08593791264... constant

1.08658059655...
a(n) = a(n-13)+ a(n-5)
`1 = x^13 - x^8`
Get 10000 digits of the 1.08658059655... constant

1.08777020051...
a(n) = a(n-11)+ a(n-6)
`1 = x^11 - x^5`
Get 10000 digits of the 1.08777020051... constant

1.09079559658...
a(n) = a(n-12)+ a(n-5)
`1 = x^12 - x^7`
Get 10000 digits of the 1.09079559658... constant

1.09102447048...
a(n) = a(n-9)+ a(n-7)
`1 = x^9 - x^2`
Get 10000 digits of the 1.09102447048... constant

1.09547157458...
a(n) = a(n-13)+ a(n-4)
`1 = x^13 - x^9`
Get 10000 digits of the 1.09547157458... constant

1.0955668827...
a(n) = a(n-11)+ a(n-5)
`1 = x^11 - x^6`
Get 10000 digits of the 1.0955668827... constant

1.09612898958...
a(n) = a(n-13)+ a(n-12)+ a(n-11)
`1 = x^13 - x^2 - x`
Get 10000 digits of the 1.09612898958... constant

1.0969815578...
a(n) = a(n-8)+ a(n-7)
`1 = x^8 - x`
Get 10000 digits of the 1.0969815578... constant

1.09940979574...
a(n) = a(n-13)+ a(n-12)+ a(n-10)
`1 = x^13 - x^3 - x`
Get 10000 digits of the 1.09940979574... constant