A341231 Irregular triangle read by rows giving trajectory from n to reach 1 under the map A245471.

1, 2, 1, 3, 4, 2, 1, 4, 2, 1, 5, 14, 7, 8, 4, 2, 1, 6, 3, 4, 2, 1, 7, 8, 4, 2, 1, 8, 4, 2, 1, 9, 26, 13, 22, 11, 28, 14, 7, 8, 4, 2, 1, 10, 5, 14, 7, 8, 4, 2, 1, 11, 28, 14, 7, 8, 4, 2, 1, 12, 6, 3, 4, 2, 1, 13, 22, 11, 28, 14, 7, 8, 4, 2, 1, 14, 7, 8, 4, 2, 1

Offset: 1

Author

Rémy Sigrist, Feb 07 2021

Keywords

• nonn
• base
• look
• tabf

Comments

A340873 gives row lengths.

A341235 gives greatest terms.

Examples

			Table begins:
    1;
    2, 1;
    3, 4, 2, 1;
    4, 2, 1;
    5, 14, 7, 8, 4, 2, 1;
    6, 3, 4, 2, 1;
    7, 8, 4, 2, 1;
    8, 4, 2, 1;
    9, 26, 13, 22, 11, 28, 14, 7, 8, 4, 2, 1;
    10, 5, 14, 7, 8, 4, 2, 1;
    11, 28, 14, 7, 8, 4, 2, 1;
    12, 6, 3, 4, 2, 1;
    13, 22, 11, 28, 14, 7, 8, 4, 2, 1;
    14, 7, 8, 4, 2, 1;
    15, 16, 8, 4, 2, 1;
    16, 8, 4, 2, 1;
    ...
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..9098 (rows 1..500)

Crossrefs

Cf. A070165, A245471, A340873, A341235.

Programs

PARI

row(n) = { my (r=[n]); while (n>1, r=concat(r, n=if (n%2, bitxor(n, 2*n+1), n/2))); r }

Formula

T(n, 1) = n.

T(n, A340873(n)) = 1.