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A332900 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(n) = 0 if n > 1 and n is a square or twice square, with f(n) = n for all other numbers. 2
1, 2, 3, 2, 4, 5, 6, 2, 2, 7, 8, 9, 10, 11, 12, 2, 13, 2, 14, 15, 16, 17, 18, 19, 2, 20, 21, 22, 23, 24, 25, 2, 26, 27, 28, 2, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 2, 2, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 2, 54, 55, 56, 57, 58, 59, 60, 2, 61, 62, 63, 64, 65, 66, 67, 68, 2, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 2, 85, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For all i, j:

  A324400(i) = A324400(j) => a(i) = a(j),

  a(i) = a(j) => A292383(i) = A292383(j) => A292583(i) = A292583(j),

  a(i) = a(j) => A332896(i) = A332896(j) => A332901(i) = A332901(j).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

PROG

(PARI)

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; };

A332900aux(n) = if((n>1)&&(issquare(n)||issquare(2*n)), 0, n);

v332900 = rgs_transform(vector(up_to, n, A332900aux(n)));

A332900(n) = v332900[n];

CROSSREFS

Cf. A292383, A292583, A324400, A332896, A332901.

Sequence in context: A120641 A008666 A240854 * A336150 A336151 A286621

Adjacent sequences:  A332897 A332898 A332899 * A332901 A332902 A332903

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 05 2020

STATUS

approved

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Last modified August 10 12:39 EDT 2020. Contains 336379 sequences. (Running on oeis4.)