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A296745
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Numbers whose base-11 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.
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4
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13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 26, 27, 28, 29, 30, 31, 32, 37, 38, 39, 40, 41, 42, 43, 49, 50, 51, 52, 53, 54, 61, 62, 63, 64, 65, 73, 74, 75, 76, 85, 86, 87, 97, 98, 109, 134, 135, 136, 137, 138, 139, 140, 141, 142, 145, 146, 147, 148, 149, 150
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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 A296744-A296746 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-11 digits of 150 are 1,2,7; here #(rises) = 2 and #(falls) = 0, so 150 is in the sequence.
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MATHEMATICA
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z = 200; b = 11; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296744 *)
Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &] (* A296745 *)
Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &] (* A296746 *)
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CROSSREFS
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Cf. A296744, A296746, A296712.
Sequence in context: A020512 A337159 A297275 * A178402 A132580 A138596
Adjacent sequences: A296742 A296743 A296744 * A296746 A296747 A296748
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KEYWORD
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nonn,base,easy
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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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