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A080080
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T(n,k) = length of longest carry sequence when adding k to n in binary representation, 1<=k<=n (triangular array).
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2
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1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 3, 1, 1, 0, 2, 2, 1, 1, 1, 3, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 4, 1, 1, 0, 1, 1, 0, 0, 3, 3, 1, 1, 1, 2, 1, 1, 0, 4, 3, 3, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 4, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 0, 3, 3, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| T(n,1) = A007814(n+1), T(n,n) = 1; for n>1: T(n,n-1) = A043545(n+1); T(n,k) <= A070940(n) = T(n, A080079(n)).
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EXAMPLE
| Triangle begins:
.............1
...........0...1
.........2...1...1
.......0...0...0...1
.....1...0...3...1...1
...0...2...2...1...1...1
.3...2...2...1...2...1...1.
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CROSSREFS
| Sequence in context: A086013 A167687 A064692 * A093662 A025918 A030425
Adjacent sequences: A080077 A080078 A080079 * A080081 A080082 A080083
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KEYWORD
| nonn,tabl,nice
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 26 2003
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