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.
%I A359930 #10 Jan 29 2023 10:45:31 %S A359930 0,0,1,1,1,2,2,2,1,3,3,2,2,2,2,1,3,4,3,3,3,2,3,4,3,3,3,3,4,3,3,2,3,3, %T A359930 4,3,3,3,4,4,4,4,3,2,3,4,6,6,6,5,5,5,4,4,4,3,2,3,3,6,6,5,5,5,4,4,4,6, %U A359930 5,6,5,5,4,4,5,5,5,5,5,4,4,4,5,5,5,6 %N A359930 The number of practical numbers strictly between A005153(n) and A005153(n)^(1+1/n). %C A359930 This sequence is based on Sun's conjecture that A005153(n)^(1/n) is a strictly decreasing sequence for n >= 3. This conjecture states for practical numbers what Firoozbakht's conjecture says for prime numbers, and implies that a(n) > 0 for n >= 3. It is valid at least for n <= 9991. The corresponding sequence for primes is A182134. %H A359930 Hal M. Switkay, <a href="/A359930/b359930.txt">Table of n, a(n) for n = 1..9991</a> %e A359930 The tenth practical number, A005153(10), is 24. 24^(1+1/10) is approximately 32.98. There are 3 practical numbers between 24 and 32.98, namely 28, 30, and 32. Thus a(10) = 3. %Y A359930 Cf. A005153, A182134. %K A359930 nonn %O A359930 1,6 %A A359930 _Hal M. Switkay_, Jan 18 2023