A179777 -id:A179777 - cp's OEIS frontend

A179779 Position of zeros in A179776. Complement of A179777.

3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 18, 19, 20, 21, 23, 24, 26, 27, 28, 29, 30, 32, 36, 37, 38, 40, 44, 45, 46, 48, 52, 53, 54, 56, 58, 59, 60, 61, 63, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 81, 82, 83, 85, 86, 87, 88, 90, 91, 93, 95, 96, 97, 98, 100, 102, 104

Offset: 1

Antti Karttunen, Aug 03 2010

nonn

Probably finite, no more terms after a(108)=163 exist.

A. Karttunen, Table of n, a(n) for n = 1..108

Cf. A179777, and also A179774, A179834.

A179778 First differences of A179777.

Original entry on oeis.org

1, 4, 4, 5, 2, 5, 3, 6, 2, 1, 1, 4, 2, 1, 1, 4, 2, 1, 1, 4, 2, 5, 2, 1, 6, 8, 1, 4, 5, 3, 2, 5, 2, 2, 5, 2, 1, 4, 4, 5, 2, 1, 1, 4, 2, 1, 1, 4, 2, 2, 5, 2, 5, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Antti Karttunen, Aug 03 2010

nonn

A. Karttunen, Table of n, a(n) for n = 1..150

Cf. A179779, and also A179773, A179833.

a(n) = A179777(n+1)-A179777(n).

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.

A179772 Position of ones in A179771.

Original entry on oeis.org

1, 2, 7, 8, 9, 13, 15, 20, 21, 24, 26, 27, 30, 31, 36, 38, 39, 47, 52, 56, 61, 63, 64, 65, 68, 69, 71, 73, 76, 81, 83, 84, 88, 93, 95, 96, 97, 101, 103, 105, 106, 110, 112, 114, 120, 125, 130, 137, 142, 144, 145, 146, 150, 152, 157, 158, 160, 161, 165, 167, 168

Offset: 1

Antti Karttunen, Aug 03 2010

nonn

This seems to give the positions where "L"'s occur in the central column of A122242 (please zoom into the illustration given here). Conjecture, from a(60)=167 onward, all integers >= 167 present.

A. Karttunen, Table of n, a(n) for n = 1..150
A. Karttunen, Terms a(1)-a(700) of A122242 drawn as binary strings, 3x3 pixels per bit.

Cf. A179773-A179774, and also A179777, A179832.

A179776 Quadrisection of the fourth central column of triangle A122245, a(n) = A179775((4*n)-2).

Original entry on oeis.org

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

Offset: 1

Antti Karttunen, Aug 03 2010

nonn

Conjecture: the last zero (108th) occurs at n=163, after which only ones occur.

A. Karttunen, Table of n, a(n) for n = 1..256

Cf. A179777-A179779, and also A179771, A179831.

a(n) = A179775((4*n)-2).

A179832 Position of ones in A179831.

Original entry on oeis.org

5, 8, 9, 13, 15, 16, 20, 21, 25, 29, 33, 40, 41, 48, 49, 55, 56, 61, 72, 79, 82, 83, 84, 90, 92, 93, 101, 102, 106, 109, 113, 116, 117, 118, 122, 123, 126, 133, 134, 140, 141, 142, 143, 150, 155, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177

Offset: 1

Antti Karttunen, Aug 03 2010

nonn

Look at the central column of A179757. Conjecture, from a(46)=165 onward, all integers >= 165 present.

A. Karttunen, Table of n, a(n) for n = 1..150
A. Karttunen, Terms a(1)-a(700) of A179757 drawn as binary strings, 3x3 pixels per bit.

Cf. A179833-A179834, and also A179772, A179777.

cp's OEIS Frontend

A179779 Position of zeros in A179776. Complement of A179777.

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A179778 First differences of A179777.

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

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A179772 Position of ones in A179771.

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A179776 Quadrisection of the fourth central column of triangle A122245, a(n) = A179775((4*n)-2).

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Author

Keywords

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Formula

A179832 Position of ones in A179831.

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