A179762 -id:A179762 - cp's OEIS frontend

A179829 Modulo 2 sum of A179762 and A179763.

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

Offset: 1

Antti Karttunen, Aug 03 2010

A. Karttunen, Table of n, a(n) for n = 1..593664
A. Karttunen, Rows 1-768 drawn as binary strings, one pixel per bit.
A. Karttunen, Rows 1-768 drawn as binary strings, 3x3 pixels per bit.

Also modulo 2 sum (XOR) of A179827 & A179828.

A179765 Partial sums of -(A033999(A179762(n))).

Original entry on oeis.org

1, 0, 1, 2, 1, 0, 1, 2, 3, 2, 3, 2, 1, 0, 1, 2, 3, 2, 1, 2, 3, 2, 1, 0, 1, 2, 3, 4, 3, 2, 3, 2, 1, 2, 1, 0, 1, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 0, 1, 2, 3, 2, 3, 4, 3, 2, 3, 2, 1, 2, 3, 2, 1, 0, 1, 2, 3, 4, 3, 2, 3, 2, 1, 2, 3, 2, 3, 4, 3, 2, 1, 0, 1, 2, 3, 4, 3, 2, 3, 4, 3, 4, 3, 2, 1, 2, 1, 2, 3, 2

Offset: 1

Antti Karttunen, Aug 03 2010

The local maximum in range [(2*A000217(n+1))-5,(2*A000217(n+2))-6] (i.e. [1,6], [7,14], [15,24], [25,36], [37,50], [51,66], ...) is given by A179846(n).

A. Karttunen, Table of n, a(n) for n = 1..644

Cf. also A179762 & A179759, A179764-A179766.

A179827 Modulo 2 sum of A179761 and A179762.

Original entry on oeis.org

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

Offset: 1

Antti Karttunen, Aug 03 2010

A. Karttunen, Table of n, a(n) for n = 1..593664
A. Karttunen, Rows 1-768 drawn as binary strings, one pixel per bit.
A. Karttunen, Rows 1-768 drawn as binary strings, 3x3 pixels per bit.

Also modulo 2 sum (XOR) of A179828 & A179829.

A179775 The fourth central column of triangle A122245, i.e., A179762(4), A179762(11), A179762(20), A179762(31), ...

Original entry on oeis.org

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

Offset: 1

Antti Karttunen, Aug 03 2010

nonn

A. Karttunen, Table of n, a(n) for n = 1..1024

Cf. A179776-A179779, and also A179770, A179830.

a(n) = A179762(A028875(n+2)).

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.

A179763 Binary expansions of A179757 concatenated together to a single binary sequence, so that from each term of A179757, the most significant bits come before the least significant bits.

Original entry on oeis.org

1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 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, 1, 1, 0, 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 A179766 and A179758, A179761 & A179762. A179828-A179829.

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.

Original entry on oeis.org

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.

cp's OEIS Frontend

A179829 Modulo 2 sum of A179762 and A179763.

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A179765 Partial sums of -(A033999(A179762(n))).

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A179827 Modulo 2 sum of A179761 and A179762.

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A179775 The fourth central column of triangle A122245, i.e., A179762(4), A179762(11), A179762(20), A179762(31), ...

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Formula

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

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A179763 Binary expansions of A179757 concatenated together to a single binary sequence, so that from each term of A179757, the most significant bits come before the least significant bits.

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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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