cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A296754 Numbers whose base-14 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.

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%I A296754 #7 Jan 27 2023 19:26:17
%S A296754 16,17,18,19,20,21,22,23,24,25,26,27,31,32,33,34,35,36,37,38,39,40,41,
%T A296754 46,47,48,49,50,51,52,53,54,55,61,62,63,64,65,66,67,68,69,76,77,78,79,
%U A296754 80,81,82,83,91,92,93,94,95,96,97,106,107,108,109,110,111
%N A296754 Numbers whose base-14 digits d(m), d(m-1), ..., d(0) have #(rises) > #(falls); see Comments.
%C A296754 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 A296753-A296755 partition the natural numbers. See the guide at A296712.
%H A296754 Clark Kimberling, <a href="/A296754/b296754.txt">Table of n, a(n) for n = 1..10000</a>
%e A296754 The base-14 digits of 10000000 are 1,12,0,6,0,8; here #(rises) = 3 and #(falls) = 2, so 10000000 is in the sequence.
%t A296754 z = 200; b = 14; d[n_] := Sign[Differences[IntegerDigits[n, b]]];
%t A296754 Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296753 *)
%t A296754 Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296754 *)
%t A296754 Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296755 *)
%Y A296754 Cf. A296753, A296755, A296712.
%K A296754 nonn,base,easy
%O A296754 1,1
%A A296754 _Clark Kimberling_, Jan 08 2018