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Rémy Sigrist, <a href="/A336527/b336527.txt">Table of n, a(n) for n = 1..10000</a>

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Rémy Sigrist: added b-file

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Cf. A002858., A336528 (decimal variant).

Rémy Sigrist, <a href="/A336527/a336527.gp.txt">PARI program for A336527</a>

(PARI) See Links section.

This sequence is a variantinspired ofby Ulam sequence (A002858).

The first terms, alongside the binary representations of the natural numbers with the corresponding concatenations of distinct smaller terms, are:

n a(n) k bin(k) concatenations

- ---- -- ------ --------------

1 1 1 1

2 2 2 10

3 11

4 100

3 5 5 101 10|1

4 6 6 110 1|10

7 111

8 1000

9 1001

10 1010

5 11 11 1011 101|1

12 1100

13 1101 1|101, 110|1

6 14 14 1110 1|110

allocated for Rémy Sigrist

a(1) = 1; a(2) = 2; for n > 2, a(n) is the least number > a(n-1) whose binary representation is uniquely the concatenation of the binary representations of two distinct earlier terms.

1, 2, 5, 6, 11, 14, 21, 23, 26, 27, 29, 30, 47, 62, 85, 86, 87, 90, 95, 106, 107, 111, 117, 122, 125, 126, 171, 174, 183, 186, 187, 191, 219, 234, 237, 238, 239, 246, 251, 254, 341, 347, 349, 351, 363, 383, 426, 431, 442, 447, 470, 471, 474, 479, 491, 495, 501

1,2

This sequence is a variant of Ulam sequence (A002858).

Cf. A002858.

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nonn,base

Rémy Sigrist, Jul 24 2020

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allocated for Rémy Sigrist

allocated

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