

A200714


Stolarsky representation interpreted as binary to decimal integers.


1



0, 1, 3, 2, 7, 5, 6, 15, 4, 11, 13, 14, 31, 10, 9, 23, 12, 27, 29, 30, 63, 8, 21, 19, 22, 47, 26, 25, 55, 28, 59, 61, 62, 127, 20, 17, 43, 18, 39, 45, 46, 95, 24, 53, 51, 54, 111, 58, 57, 119, 60, 123, 125, 126
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OFFSET

1,3


COMMENTS

See explanation of Stolarksy representations in the C. Mongoven link.


LINKS

Table of n, a(n) for n=1..54.
C. Mongoven, Description of Stolarsky Representations


EXAMPLE

The Stolarsky representation of 19 is 11101. In binary this is equal to 29. So a(19) = 29.


PROG

(PARI) a(n) = {if (n == 1, return (0)); tau = (1 + sqrt(5))/2; mn = 0; while ((m = round(mn*tau)) < n, mn++; ); if (m == n, return (2*a(mn)+1)); mn = 0; while ((m = floor(mn*(1+tau)tau/2)) < n, mn++; ); if (m == n, return (2*a(mn))); error("neither A nor B !!"); } \\ (cf C. Mongoven link) Michel Marcus, May 21 2013, Sep 02 2013


CROSSREFS

Cf. A200648, A048679.
Sequence in context: A059894 A307544 A126314 * A086702 A156140 A324556
Adjacent sequences: A200711 A200712 A200713 * A200715 A200716 A200717


KEYWORD

nonn,base


AUTHOR

Casey Mongoven, Nov 20 2011


STATUS

approved



