A122246 -id:A122246 - cp's OEIS frontend

A179762 Binary expansions of A122245 (A122246) concatenated together to a single binary sequence, so that from each term of A122245, the most significant bits come before the least significant bits.

1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 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 A179765 and A179758, A179761 & A179763. A179827-A179829.

A122245 a(n) = A014486(A122244(n)).

Original entry on oeis.org

44, 232, 920, 3876, 14936, 60568, 248240, 996440, 3876264, 15524272, 63773584, 255477160, 993549616, 3970767760, 16350559552, 65386339632, 254129067336, 1016476056896, 4184726043136, 16740063237448, 65054466609736, 260416091191808

Offset: 1

Antti Karttunen, Sep 14 2006

Questions: to which Wolfram's class does this simple program belong, class 3 or class 4? (Is that classification applicable here? This is not 1D CA, although it may look like one).
Does the "central skyscraper" continue widening forever? (see the image for up to 16384th generation) At what specific points it widens? (A new sequence for that). How does that differ from A122242 and similar sister sequences, with different starting conditions?
Related comments in A179777.

Antti Karttunen, Table of n, a(n) for n = 1..1024
A. Karttunen, Python program for computing this sequence and the associated image.
A. Karttunen, Terms a(1)-a(768) drawn as binary strings, in Wolframesque fashion.
A. Karttunen, Terms a(1)-a(256) drawn as binary strings, showing details better.
Antti Karttunen, The central parts of terms a(1) - a(16384) drawn in similar fashion, showing how the "crystallized central skyscraper" gets slowly wider and wider

A122246 shows the same sequence in binary. Compare to similar Wolframesque plots given in A080070, A122229, A122232, A122235, A122239, A122242, A179755, A179757. Cf. also A179777, A179762, A179417.

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.

A122243 a(n) = A007088(A122242(n)).

Original entry on oeis.org

101010, 11110000, 1110010100, 111010100100, 11101001110000, 1111001010011000, 111100100101110000, 11101100101001011000, 1110110010011011100000, 111100111001000110110000

Offset: 1

Antti Karttunen, Sep 14 2006

A080070, A122230, A122233, A122236, A122240, A122246.

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

A179762 Binary expansions of A122245 (A122246) concatenated together to a single binary sequence, so that from each term of A122245, the most significant bits come before the least significant bits.

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A122245 a(n) = A014486(A122244(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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A122243 a(n) = A007088(A122242(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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