This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A296699 Numbers n whose base-5 digits d(m), d(m-1), ... d(0) have #(rises) < #(falls); see Comments. 4
 5, 10, 11, 15, 16, 17, 20, 21, 22, 23, 25, 30, 50, 55, 56, 60, 61, 75, 80, 81, 85, 86, 87, 90, 91, 92, 100, 105, 106, 110, 111, 112, 115, 116, 117, 118, 120, 121, 122, 123, 125, 130, 135, 136, 140, 141, 142, 145, 146, 147, 148, 150, 155, 180, 205, 210, 211 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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 A296697-A296699 partition the natural numbers. See the guide at A296712. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE The base-5 digits of 211 are 1,3,2,1; here #(rises) = 1 and #(falls) = 2, so that 211 is in the sequence. MATHEMATICA z = 200; b = 5; d[n_] := Sign[Differences[IntegerDigits[n, b]]]; Select[Range [z], Count[d[#], -1] == Count[d[#], 1] &] (* A296697 *) Select[Range [z], Count[d[#], -1] < Count[d[#], 1] &]  (* A296698 *) Select[Range [z], Count[d[#], -1] > Count[d[#], 1] &]  (* A296699 *) CROSSREFS Cf. A296697, A296698, A296712. Sequence in context: A290469 A140507 A297255 * A297132 A136823 A275200 Adjacent sequences:  A296696 A296697 A296698 * A296700 A296701 A296702 KEYWORD nonn,base AUTHOR Clark Kimberling, Dec 21 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 12 15:11 EST 2019. Contains 329960 sequences. (Running on oeis4.)