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A296708
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Numbers n whose base-8 digits d(m), d(m-1), ..., d(0) have #(rises) < #(falls); see Comments.
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4
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8, 16, 17, 24, 25, 26, 32, 33, 34, 35, 40, 41, 42, 43, 44, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 64, 72, 128, 136, 137, 144, 145, 192, 200, 201, 208, 209, 210, 216, 217, 218, 256, 264, 265, 272, 273, 274, 280, 281, 282, 283, 288, 289, 290, 291
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OFFSET
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1,1
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COMMENTS
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A rise is an index i such that d(i) < d(i+1); a fall is an index i such that d(i) > d(i+1). The sequences A296706-A296707 partition the natural numbers. See the guide at A296712.
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LINKS
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Clark Kimberling, Table of n, a(n) for n = 1..10000
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EXAMPLE
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The base-8 digits of 291 are 4,4,3; here #(rises) = 0 and #(falls) = 1, so that 291 is in the sequence.
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MATHEMATICA
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z = 200; b = 8; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296706 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &] (* A296707 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &] (* A296708 *)
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CROSSREFS
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Cf. A296707, A296708, A296712.
Sequence in context: A319317 A091251 A297264 * A297141 A004779 A247061
Adjacent sequences: A296705 A296706 A296707 * A296709 A296710 A296711
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KEYWORD
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nonn,easy,base
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AUTHOR
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Clark Kimberling, Jan 08 2018
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STATUS
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approved
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