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Search: id:A078441
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| A078441 |
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a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.) |
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+0
1
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| 12, 28, 98, 98, 386, 943, 1494, 1680, 2987, 2987, 2987, 2987, 2987, 7083, 7083, 7083, 57857, 57857, 57857, 57857
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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Recall that f(n) = n/2 if n is even; = 3n + 1 if n is odd.
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EXAMPLE
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98, 99, 100 is the first chain of three consecutive positive integers n, n+1, n+2 such that h(n) = h(n+1) = h(n+2). Hence 98 belongs to the sequence.
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CROSSREFS
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Sequence in context: A039366 A043189 A043969 this_sequence A000546 A130516 A045554
Adjacent sequences: A078438 A078439 A078440 this_sequence A078442 A078443 A078444
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KEYWORD
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more,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Dec 31 2002
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EXTENSIONS
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More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) Jun 20 2003
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