A178170 The product of the numbers in the Collatz trajectory of a(n) is the n-th largest such product.

1, 2, 4, 8, 16, 5, 32, 10, 3, 6, 20, 64, 12, 40, 21, 24, 128, 13, 42, 80, 48, 26, 256, 84, 160, 52, 96, 85, 17, 168, 53, 512, 104, 320, 192, 34, 170, 106, 11, 336, 208, 68, 1024, 384, 22, 35, 640, 340, 212, 7, 69, 136, 44, 672, 416, 70, 14, 341, 213, 113, 768, 2048, 1280

Offset

1,2

Comments

That is, a(n) is the number k such that A178168(k) = A178169(n).

The sequence is easy to compute by generating the Collatz tree while keeping track of the products at the leaves of the tree. At each step, extend the tree at the leaf having the smallest product.

Links

T. D. Noe, Table of n, a(n) for n=1..1000

Crossrefs

Sequence in context: A269305 A225570 A352391 * A127824 A088975 A306601

Adjacent sequences: A178167 A178168 A178169 * A178171 A178172 A178173

Keyword

nonn

Author

T. D. Noe, May 21 2010

Status

approved