A341235 a(n) is the greatest term in n-th row of A341231.

1, 2, 4, 4, 14, 6, 8, 8, 28, 14, 28, 12, 28, 14, 16, 16, 62, 28, 52, 20, 62, 28, 56, 24, 62, 28, 44, 28, 52, 30, 32, 32, 122, 62, 100, 36, 110, 52, 104, 40, 122, 62, 124, 44, 118, 56, 112, 48, 122, 62, 84, 52, 112, 54, 88, 56, 110, 58, 76, 60, 100, 62, 64, 64

Offset: 1

Author

Rémy Sigrist, Feb 07 2021

Keywords

• nonn
• look
• base

Comments

Records of a(n)/n appear to happen for n in A083318.

Examples

			For n = 10:
- the trajectory of 10 under A245471 is 10 -> 5 -> 14 -> 7 -> 8 -> 4 -> 2 -> 1,
- so a(10) = 14.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to 3x+1 (or Collatz) problem

Crossrefs

Cf. A025586, A083318, A245471, A340873, A341231.

Programs

PARI

a(n) = { my (m=n); while (n>1, m=max(m, n=if (n%2, bitxor(n, 2*n+1), n/2))); m }

Formula

a(n) >= n, equality implies that n equals 1 or is even.

a(n) < 4*n.