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

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

Offset: 1

Author

Antti Karttunen, Sep 14 2006

Keywords

• nonn
• base

Comments

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

Links

• 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

Crossrefs

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.

Programs

Python

# See the Links section

Formula

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