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A331743 Lexicographically earliest infinite sequence such that a(i) = a(j) => A002487(i) = A002487(j) and A323901(i) = A323901(j) for all i, j. 5
1, 2, 2, 3, 2, 4, 3, 5, 2, 6, 4, 7, 3, 8, 5, 9, 2, 10, 6, 11, 4, 12, 7, 13, 3, 14, 8, 15, 5, 16, 9, 17, 2, 18, 10, 19, 6, 20, 11, 21, 4, 22, 12, 23, 7, 24, 13, 25, 3, 26, 14, 27, 8, 28, 15, 29, 5, 30, 16, 31, 9, 32, 17, 33, 2, 34, 18, 35, 10, 36, 19, 37, 6, 38, 20, 39, 11, 40, 21, 41, 4, 42, 22, 43, 12, 44, 23, 45, 7, 46, 24, 47, 13, 48, 25, 49, 3, 50, 26, 51, 14, 52, 27, 53, 8, 54 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Restricted growth sequence transform of the ordered pair [A002487(n), A002487(A163511(n))].

For all i, j:

  a(i) = a(j) => A331748(i) = A331748(j),

  a(i) = a(j) => A331749(i) = A331749(j).

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for sequences related to binary expansion of n

Index entries for sequences related to Stern's sequences

FORMULA

a(2^n) = 2 for all n >= 0.

PROG

(PARI)

\\ Needs also code from A323901.

up_to = 65537;

rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om, invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om, invec[i], i); outvec[i] = u; u++ )); outvec; };

Aux331743(n) = [A002487(n), A323901(n)];

v331743 = rgs_transform(vector(1+up_to, n, Aux331743(n-1)));

A331743(n) = v331743[1+n];

CROSSREFS

Cf. A002487, A163511, A323901, A324400, A331742, A331744, A331748, A331749.

Differs from A331745 for the first time at n=77, where a(77) = 40, while A331745(77) = 24.

Differs from A103391(1+n) for the first time at n=191, where a(191) = 23, while A103391(192) = 97.

Sequence in context: A286378 A331745 A103391 * A178804 A322355 A242112

Adjacent sequences:  A331740 A331741 A331742 * A331744 A331745 A331746

KEYWORD

nonn

AUTHOR

Antti Karttunen, Feb 05 2020

STATUS

approved

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Last modified May 7 09:41 EDT 2021. Contains 343649 sequences. (Running on oeis4.)