A276386 Write A003511(n) in the base {1, 3, 4, 11, 15, 41, 56, 153, 209, ...} (see A002530).

1, 2, 100, 101, 102, 200, 201, 202, 1001, 1002, 10000, 10001, 10002, 10100, 10101, 10102, 10200, 10201, 10202, 11001, 11002, 20000, 20001, 20002, 20100, 20101, 20102, 20200, 20201, 20202, 100001, 100002, 100100, 100101, 100102, 100200, 100201, 100202, 101001

Offset

1,2

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]
A003511(n) = floor(n*(1+sqrt(3))/2)
a(n) = my (v=A003511(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, A276387, A276388.

Sequence in context: A024241 A278684 A024242 * A333023 A171396 A202945

Adjacent sequences: A276383 A276384 A276385 * A276387 A276388 A276389

Keyword

nonn,base

Author

N. J. A. Sloane, Sep 04 2016

Extensions

More terms from Rémy Sigrist, Dec 29 2018

Status

approved