A276386 -id:A276386 - cp's OEIS frontend

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

N. J. A. Sloane, Sep 04 2016

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.

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

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

More terms from Rémy Sigrist, Dec 29 2018

A276388 Write n in the P-base {1, 3, 4, 11, 15, 41, 56, 153, 209, ...} corresponding to (1+sqrt(3))/2 (see A002530).

Original entry on oeis.org

0, 1, 2, 10, 100, 101, 102, 110, 200, 201, 202, 1000, 1001, 1002, 1010, 10000, 10001, 10002, 10010, 10100, 10101, 10102, 10110, 10200, 10201, 10202, 11000, 11001, 11002, 11010, 20000, 20001, 20002, 20010, 20100, 20101, 20102, 20110, 20200, 20201, 20202, 100000

Offset: 0

N. J. A. Sloane, Sep 04 2016

Reading from right to left the digit positions are worth 1, 3, 4, 11, 15, ... So 13 for instance is 11+2 = 1002.

Rémy Sigrist, Table of n, a(n) for n = 0..10000
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.

Cf. A002530, A276386, A276387.

More terms from Rémy Sigrist, Dec 20 2016

cp's OEIS Frontend

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

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