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A160000
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Number of partitions of n into parts occurring in '3x+1'-trajectory starting with n.
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2
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1, 2, 3, 4, 5, 11, 9, 10, 17, 20, 23, 66, 35, 57, 51, 36, 77, 153, 122, 126, 61, 213, 189, 883, 353, 338, 337, 851, 645, 570, 571, 202, 1220, 1066, 901, 4017, 3462, 2440, 2777, 1598, 1852, 512, 8084, 4909, 3952, 3122, 3399, 29851, 17813, 11391, 11285, 7128
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| R. Zumkeller, Table of n, a(n) for n = 1..100
Wikipedia, Collatz conjecture
Index entries for sequences related to 3x+1 (or Collatz) problem
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EXAMPLE
| 7-22-11-34-17-52-26-13-40-20-10-5-16-8-[4-2-1]*:
{1,2,4,5,7} is the set of numbers <= n, occurring in this trajectory, therefore a(7) = #{7, 5+2, 5+1+1, 4+2+1, 4+1+1+1, 2+2+2+1, 2+2+1+1+1, 2+1+1+1+1+1, 1+1+1+1+1+1+1} = 9.
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CROSSREFS
| A160001, A000041, A159999, A006370.
Sequence in context: A111665 A111666 A080475 * A115306 A171592 A084545
Adjacent sequences: A159997 A159998 A159999 * A160001 A160002 A160003
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 11 2009
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