The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A173341 Numbers n such that n^5 and a cube are between consecutive squares. 2
 2, 23, 199, 201, 408, 575, 603, 1354, 1628, 4995, 5745, 7320, 7994, 12634, 42637, 44217, 45962, 67132, 82131, 82351, 91116, 91134, 146521, 177682, 229863, 359373, 394826, 458908, 462763, 512012, 665719, 728982, 1009965, 1156978, 1450803 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence appears to be infinite. Sequence A117594 is a subsequence. The corresponding sequence for n^7 is A173342. Are there ever more than two perfect powers between consecutive squares? LINKS EXAMPLE 2 is here because 2^5=32 and 3^3=27 are between 5^2=25 and 6^2=36. 23 is here because 23^5 and 186^3 are between 2536^2 and 2537^2. 199 is here because 199^5 and 6783^3 are between 558640^2 and 558641^2. MATHEMATICA t={}; Do[n2=Floor[n^(5/2)]; n3=Round[n^(5/3)]; If[n2^2

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 February 21 02:02 EST 2020. Contains 332086 sequences. (Running on oeis4.)