A366286 -id:A366286 - cp's OEIS frontend

A366283 a(n) = gcd(n, A366275(n)), where A366275 is the Cat's tongue permutation.

1, 1, 2, 3, 4, 1, 6, 1, 8, 9, 2, 1, 12, 1, 2, 1, 16, 1, 18, 1, 4, 3, 2, 1, 24, 25, 2, 1, 4, 1, 2, 1, 32, 3, 2, 5, 36, 1, 2, 3, 8, 1, 6, 1, 4, 3, 2, 1, 48, 1, 50, 1, 4, 1, 2, 55, 8, 1, 2, 1, 4, 1, 2, 1, 64, 1, 6, 1, 4, 3, 10, 1, 72, 1, 2, 15, 4, 7, 6, 1, 16, 3, 2, 1, 12, 5, 2, 3, 8, 1, 6, 7, 4, 3, 2, 1, 96, 1, 2, 1, 100

Offset: 0

Antti Karttunen, Oct 07 2023

nonn

Antti Karttunen, Table of n, a(n) for n = 0..16383
Index entries for sequences related to binary expansion of n

Cf. A057889, A163511, A366275, A366282, A366284, A366285, A366286.

Differs from related A364255 for the first time at n=25, where a(25) = 25, while A364255(25) = 5.

A366283(n) = gcd(n,A366275(n)); \\ Uses the program given in A366275.

a(n) = gcd(n,A366282(n)) = gcd(A366275(n),A366282(n)).

a(n) = n / A366284(n) = A366275(n) / A366285(n).

A366376 Lexicographically earliest infinite sequence such that a(i) = a(j) => A366375(i) = A366375(j) for all i, j >= 0, where A366375(n) is the denominator of n / A332214(n).

Original entry on oeis.org

1, 2, 2, 1, 2, 3, 1, 1, 2, 4, 3, 5, 1, 6, 1, 1, 2, 7, 4, 8, 3, 9, 5, 10, 1, 11, 6, 12, 1, 13, 1, 1, 2, 7, 7, 8, 4, 14, 8, 15, 3, 16, 9, 17, 5, 18, 10, 19, 1, 20, 11, 21, 6, 22, 12, 23, 1, 13, 13, 24, 1, 25, 1, 26, 2, 27, 7, 28, 7, 29, 8, 30, 4, 31, 14, 12, 8, 32, 15, 33, 3, 5, 16, 34, 9, 22, 17, 35, 5, 36, 18, 19, 10

Offset: 0

Antti Karttunen, Oct 08 2023

Restricted growth sequence transform of A366375.

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

Cf. A332214, A366373, A366375.

Cf. also A365393, A365431, A366286 (compare the scatter plots).

\\ Needs also program from A332214:
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; };
A366375(n) = { my(u=A332214(n)); (u/gcd(n,u)); };
v366376 = rgs_transform(vector(1+up_to,n,A366375(n-1)));
A366376(n) = v366376[1+n];

A366285 a(n) = A366275(n) / gcd(n, A366275(n)), where A366275 is the Cat's tongue permutation.

Original entry on oeis.org

1, 2, 2, 1, 2, 9, 1, 5, 2, 3, 9, 15, 1, 25, 5, 7, 2, 81, 3, 45, 9, 25, 15, 21, 1, 5, 25, 35, 5, 49, 7, 11, 2, 81, 81, 27, 3, 225, 45, 21, 9, 375, 25, 105, 15, 49, 21, 33, 1, 625, 5, 175, 25, 245, 35, 1, 5, 343, 49, 77, 7, 121, 11, 13, 2, 729, 81, 405, 81, 225, 27, 189, 3, 1125, 225, 21, 45, 63, 21, 99, 9, 625, 375, 525

Offset: 0

Antti Karttunen, Oct 07 2023

Denominator of n / A366275(n).

Antti Karttunen, Table of n, a(n) for n = 0..16383
Index entries for sequences related to binary expansion of n

Cf. A057889, A163511, A366275, A366282, A366283, A366284 (numerators), A366286 (rgs-transform).

Cf. also A364492.

A366285(n) = { my(u=A366275(n)); (u/gcd(n,u)); }; \\ Uses the program given in A366275.

a(n) = A366275(n) / A366283(n) = A366275(n) / gcd(n, A366275(n))

A366284 a(n) = n / gcd(n, A366275(n)), where A366275 is the Cat's tongue permutation.

Original entry on oeis.org

0, 1, 1, 1, 1, 5, 1, 7, 1, 1, 5, 11, 1, 13, 7, 15, 1, 17, 1, 19, 5, 7, 11, 23, 1, 1, 13, 27, 7, 29, 15, 31, 1, 11, 17, 7, 1, 37, 19, 13, 5, 41, 7, 43, 11, 15, 23, 47, 1, 49, 1, 51, 13, 53, 27, 1, 7, 57, 29, 59, 15, 61, 31, 63, 1, 65, 11, 67, 17, 23, 7, 71, 1, 73, 37, 5, 19, 11, 13, 79, 5, 27, 41, 83, 7, 17, 43, 29, 11

Offset: 0

Antti Karttunen, Oct 07 2023

Numerator of n / A366275(n).

Antti Karttunen, Table of n, a(n) for n = 0..16383
Index entries for sequences related to binary expansion of n

Cf. A057889, A163511, A366275, A366282, A366283, A366285 (denominators), A366286.

Cf. also A364491.

A366284(n) = (n/gcd(n,A366275(n))); \\ Uses the program given in A366275.

a(n) = n / A366283(n) = n / gcd(n, A366275(n))

cp's OEIS Frontend

A366283 a(n) = gcd(n, A366275(n)), where A366275 is the Cat's tongue permutation.

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A366376 Lexicographically earliest infinite sequence such that a(i) = a(j) => A366375(i) = A366375(j) for all i, j >= 0, where A366375(n) is the denominator of n / A332214(n).

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PARI

A366285 a(n) = A366275(n) / gcd(n, A366275(n)), where A366275 is the Cat's tongue permutation.

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Author

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Comments

Links

Crossrefs

Programs

PARI

Formula

A366284 a(n) = n / gcd(n, A366275(n)), where A366275 is the Cat's tongue permutation.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI

Formula