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6, -12, 10, -6, -14, 22, -52, 36, 6, -76, 18, -58, 20, -38, -78, 54, -260, 104, -46, 38, 36, -58, 84, -22, 138, -134, -286, 254, -984, 58, 2, -1362, -336, -276, 92, -16, 8, 2, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list;
graph;
refs;
listen;
history;
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internal format)
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OFFSET
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0,1
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COMMENTS
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These are the differences obtained when the term of A086893 that has the same binary length as A372443(n) is subtracted from the latter. Here A372443(n) gives the n-th iterate of 27 with Reduced Collatz-function R, where R(n) = A000265(3*n+1).
Note that for all n >= 1, R(A086893(2n-1)) = 1, and R(A086893(2n)) = 5 (with R(5) = 1), so the first zero here, a(39) = 0 indicates that the iteration will soon have reached the terminal 1, and indeed, A372443(41) = 1.
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LINKS
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FORMULA
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EXAMPLE
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The term of A086893 that has same binary length as A372443(0) = 27 is 21 [as 21 = 10101_2 in binary, and 27 = 11011_2 in binary], therefore a(0) = 27-21 = 6.
The term of A086893 that has same binary length as A372443(1) = 41 is 53, therefore a(1) = 41-53 = -12.
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PROG
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(PARI)
A086893(n) = (if(n%2, 2^(n+1), 2^(n+1)+2^(n-1))\3);
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CROSSREFS
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KEYWORD
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sign,new
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AUTHOR
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STATUS
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approved
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