A122243 -id:A122243 - cp's OEIS frontend

A179761 Binary expansions of A122242 (A122243) concatenated together to a single binary sequence, so that from each term of A122242, the most significant bits come before the least significant bits.

1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0

Offset: 1

Antti Karttunen, Aug 03 2010

When viewed as a table, the first row contains six terms, the second eight, the third ten, and so on, i.e. row n contains 2(n+2) terms.

A. Karttunen, Table of n, a(n) for n = 1..593664 (containing 768 first rows)

Cf. also A179764 and A179758, A179762 & A179763. A179827-A179828.

A122242 a(n) = A014486(A122241(n)).

Original entry on oeis.org

42, 240, 916, 3748, 14960, 62104, 248176, 969304, 3876576, 15962544, 63772488, 248169896, 993554240, 4086635408, 16350541128, 63529835824, 254129143040, 1046249323840, 4184725760584, 16276030608712, 65054467548432, 267635134298624

Offset: 1

Antti Karttunen, Sep 14 2006

Question: to which Wolfram's class does this simple program belong, class 3 or class 4, or is such categorization at all applicable here?

Antti Karttunen, Table of n, a(n) for n = 1..1650
Antti Karttunen, Python program for computing this sequence and the associated images.
Antti Karttunen, Terms a(1)-a(768) drawn as binary strings, in Wolframesque fashion.
Antti Karttunen, Terms a(1)-a(256) drawn as binary strings, showing details better.
Antti Karttunen, The central parts of terms a(1) - a(20000) drawn in similar fashion. (Note the "foreshadowing ghost columns" present in the "central skyscraper" attractor that are not present at A122245. Compare also to illustrations in A376412)
Index entries for sequences related to binary expansion of n
Index entries for encodings of plane rooted trees
Index entries for sequences related to parenthesizing

Cf. A014486, A057548, A082358, A122237, A122241, A122243 (same sequence in binary).
Compare to similar Wolframesque plots given in A080070, A122229, A122232, A122235, A122239, A122245.
Cf. also A376402, A376412.

Python
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# See the Links section
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For n >= 1, a(1+n) = 2*a(n) XOR A376402(n), a(4+n) = 16*a(n) XOR A376412(n). - Antti Karttunen, Sep 23 2024

A122230 a(n) = A007088(A122229(n)).

Original entry on oeis.org

0, 10, 1100, 111000, 11100100, 1110011000, 111001100100, 11100110011000, 1110011001100100, 111001100110011000, 11100110011001100100, 1110011001100110011000, 111001100110011001100100

Offset: 0

Antti Karttunen, Sep 14 2006

Cf. A080070, A122233, A122236, A122240, A122243, A122246.

A122233 a(n) = A007088(A122232(n)).

Original entry on oeis.org

101010, 11010100, 1111100000, 111100100100, 11110001011000, 1111110010000100, 111101100010011000, 11110001101100100100, 1111101011000110000100, 111101100110001100010100

Offset: 1

Antti Karttunen, Sep 14 2006

Cf. A080070, A122230, A122236, A122240, A122243, A122246.

A122246 a(n) = A007088(A122245(n)).

Original entry on oeis.org

101100, 11101000, 1110011000, 111100100100, 11101001011000, 1110110010011000, 111100100110110000, 11110011010001011000, 1110110010010110101000, 111011001110000110110000

Offset: 1

Antti Karttunen, Sep 14 2006

A080070, A122230, A122233, A122236, A122240, A122243.

A122236 a(n) = A007088(A122235(n)).

Original entry on oeis.org

101100, 11011000, 1111001000, 111100010100, 11111100000100, 1111001001110000, 111100010111000100, 11111111000010000100, 1111100010011011000100, 111101101001110000100100

Offset: 1

Antti Karttunen, Sep 14 2006

Cf. A080070, A122230, A122233, A122240, A122243, A122246.

A122240 a(n) = A007088(A122239(n)).

Original entry on oeis.org

110100, 11110000, 1111000100, 111110000100, 11110011000100, 1111110000010100, 111100100111100000, 11110001011100100100, 1111111000101100000100, 111100101001101001110000

Offset: 1

Antti Karttunen, Sep 14 2006

Cf. A080070, A122230, A122233, A122236, A122243, A122246.

cp's OEIS Frontend

A179761 Binary expansions of A122242 (A122243) concatenated together to a single binary sequence, so that from each term of A122242, the most significant bits come before the least significant bits.

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A122242 a(n) = A014486(A122241(n)).

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A122230 a(n) = A007088(A122229(n)).

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A122233 a(n) = A007088(A122232(n)).

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A122246 a(n) = A007088(A122245(n)).

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A122236 a(n) = A007088(A122235(n)).

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A122240 a(n) = A007088(A122239(n)).

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