A276387 Write A003512(n) in the base {1, 3, 4, 11, 15, 41, 56, 153, 209, ...} (see A002530).

10, 110, 1000, 1010, 10010, 10110, 11000, 11010, 20010, 20110, 100000, 100010, 100110, 101000, 101010, 1000010, 1000110, 1001000, 1001010, 1010010, 1010110, 1011000, 1011010, 1020010, 1020110, 1100000, 1100010, 1100110, 1101000, 1101010, 2000010, 2000110

Offset

1,1

Links

Rémy Sigrist, Table of n, a(n) for n = 1..1000

Aviezri S. Fraenkel, Jonathan Levitt, Michael Shimshoni, Characterization of the set of values f(n)=[n alpha], n=1,2,..., Discrete Math. 2 (1972), no. 4, 335-345. See Table 1.

Prog

(PARI) A002530(n) = contfracpnqn(vector(n, i, 1+(i>1)*(i%2)))[2, 1]
A003512(n) = floor(n*(sqrt(3)+2))
a(n) = my (v=A003512(n)); for (b=2, oo, if (v<=A002530(b), my (w=0); forstep (p=b, 2, -1, w=10*w + (v\A002530(p)); v=v%A002530(p)); return (w))) \\ Rémy Sigrist, Dec 29 2018

Crossrefs

Cf. A002530, A003511, A003512, A276386, A276388.

Sequence in context: A180290 A110251 A270243 * A289890 A289093 A286822

Adjacent sequences: A276384 A276385 A276386 * A276388 A276389 A276390

Keyword

nonn,base

Author

N. J. A. Sloane, Sep 04 2016

Extensions

More terms from Rémy Sigrist, Dec 29 2018

Status

approved