The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A247782 Numbers k for which A247781(k+1) = A247781(k). 3
 1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 60, 61, 63, 64, 65, 66, 67, 69, 70, 71, 72, 74, 75, 76, 77, 78, 80, 81 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Every positive integer is in exactly one of the sequences A247782 and A247783. LINKS Clark Kimberling, Table of n, a(n) for n = 1..4000 EXAMPLE The values of 1/e - (1 - 1/k)^k for n = 1..9 are approximately 0.367879, 0.117879, 0.0715831, 0.0514732, 0.0401994, 0.0329815, 0.0279628, 0.0242705, 0.02144, from which we see that the first 9 terms of A247781 are 1,1,2,2,2,2,2,2,3, so that the first six terms of A247782 are 1,3,4,5,6,7. MATHEMATICA z = 400; f[n_] := f[n] = Select[Range[z], 1/E - (1 - 1/#)^# < 1/n &, 1]; u = Flatten[Table[f[n], {n, 1, z}]] (*A247781*) d1 = Flatten[Position[Differences[u], 0]] (*A247782*) d2 = Flatten[Position[Differences[u], 1]] (*A247783*) CROSSREFS Cf. A247781, A247783, A247788. Sequence in context: A155854 A047252 A039235 * A039179 A247914 A184518 Adjacent sequences: A247779 A247780 A247781 * A247783 A247784 A247785 KEYWORD nonn,easy AUTHOR Clark Kimberling, Sep 24 2014 STATUS approved

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

Last modified December 5 08:13 EST 2023. Contains 367575 sequences. (Running on oeis4.)