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A087230 Exponent of p=2 in 6n+4=3(2n+1)+1 numbers. In Collatz-algorithm if initiated with m=odd value, the first 3x+1 step is followed by a(n) step corresponding to division by 2. Compare to A085058 and A087229. Each 2nd term is either =1 or equals corresponding term of A087229, depending on whether the odd number congruent 1 or 3 modulo 4. +0
4
1, 4, 1, 2, 1, 3, 1, 2, 1, 6, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 8, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 6, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1 (list; graph; listen)
OFFSET

1,2

EXAMPLE

n=85: m=6.85+4=514 and Collatz-iteration goes on by one dividing step, a(85)=1.

MATHEMATICA

Table[Part[Part[FactorInteger[12*w+4], 1], 2], {w, 1, 1000}]

CROSSREFS

Cf. A085058, A087229.

Adjacent sequences: A087227 A087228 A087229 this_sequence A087231 A087232 A087233

Sequence in context: A079163 A108536 A010640 this_sequence A030787 A109008 A074695

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Aug 28 2003

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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