OFFSET
1,3
COMMENTS
For the Stolarsky representation of n, see the C. Mongoven link.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000
Casey Mongoven, Description of Stolarsky Representations.
FORMULA
EXAMPLE
The Stolarsky representation of 19 is 11101. This is of length 5. So a(19) = 5.
MATHEMATICA
stol[n_] := stol[n] = If[n == 1, {}, If[n != Round[Round[n/GoldenRatio]*GoldenRatio], Join[stol[Floor[n/GoldenRatio^2] + 1], {0}], Join[stol[Round[n/GoldenRatio]], {1}]]];
a[n_] := If[n == 1, 1, Length[stol[n]]]; Array[a, 100] (* Amiram Eldar, Jul 07 2023 *)
PROG
(PARI) stol(n) = {my(phi=quadgen(5)); if(n==1, [], if(n != round(round(n/phi)*phi), concat(stol(floor(n/phi^2) + 1), [0]), concat(stol(round(n/phi)), [1]))); }
a(n) = if(n == 1, 1, #stol(n)); \\ Amiram Eldar, Jul 07 2023
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Casey Mongoven, Nov 19 2011
EXTENSIONS
More terms from Amiram Eldar, Jul 07 2023
STATUS
approved