

A341220


Irregular table read by rows T(n, k), n >= 0, k = 1..A341218(n); T(n, k) is the kth number m such that A340873(m) = n.


2



1, 2, 4, 3, 8, 6, 7, 16, 12, 14, 15, 32, 5, 24, 28, 30, 31, 64, 10, 11, 48, 56, 60, 62, 63, 128, 20, 21, 22, 23, 96, 112, 120, 124, 126, 127, 256, 13, 40, 42, 43, 44, 46, 47, 192, 224, 240, 248, 252, 254, 255, 512, 25, 26, 27, 80, 84, 85, 86, 87, 88, 92, 94, 95, 384, 448, 480, 496, 504, 508, 510, 511, 1024
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OFFSET

0,2


COMMENTS

Each positive integer appears once.
For any n >= 0:
 if m appears in row n, then 2*m appears in row n+1,
 if m appears in row n and is an odious even number > 2, then an additional odd number appears in row n+1.


LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..11792 (rows 0..26)
Rémy Sigrist, PARI program for A341220
Index entries for sequences related to 3x+1 (or Collatz) problem
Index entries for sequences that are permutations of the natural numbers


FORMULA

T(n, 1) = A341194(n).
T(n, A341218(n)) = 2^n.


EXAMPLE

Table begins:
1;
2;
4;
3, 8;
6, 7, 16;
12, 14, 15, 32;
5, 24, 28, 30, 31, 64;
10, 11, 48, 56, 60, 62, 63, 128;
20, 21, 22, 23, 96, 112, 120, 124, 126, 127, 256;
13, 40, 42, 43, 44, 46, 47, 192, 224, 240, 248, 252, 254, 255, 512;
...


PROG

(PARI) See Links section.


CROSSREFS

Cf. A127824, A340873, A341194, A341218.
Sequence in context: A209636 A243491 A271863 * A253563 A294044 A243072
Adjacent sequences: A341217 A341218 A341219 * A341221 A341222 A341223


KEYWORD

nonn,look,base,tabf


AUTHOR

Rémy Sigrist, Feb 07 2021


STATUS

approved



