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A178170
The product of the numbers in the Collatz trajectory of a(n) is the n-th largest such product.
2
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.
CROSSREFS
Sequence in context: A269305 A225570 A352391 * A127824 A088975 A306601
KEYWORD
nonn
AUTHOR
T. D. Noe, May 21 2010
STATUS
approved