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

1,1

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

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

Prog

(Python) # See the Links section

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.

Sequence in context: A263304 A116004 A221426 * A046655 A299717 A156357

Adjacent sequences: A122239 A122240 A122241 * A122243 A122244 A122245

Keyword

nonn,base

Author

Antti Karttunen, Sep 14 2006

Status

approved