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 A382708 #21 Jul 09 2025 05:08:53 %S A382708 0,0,0,0,4,4,4,14,20,39,39,39,59,97,97,97,134,162,177,260,260,280,300, %T A382708 360,360,423,525,694,694,722,817,895,1129,1129,1162,1254,1546,1546, %U A382708 1615,1751,1856,1925,2326,2326,2436,2546,2625,2704,2783,3061,3104,3196,3415,3458,3458,3699,4439,4439,4590,4890,5725,5725,5842 %N A382708 Number of triples (i,j,k), 1 <= i < j < k <= n such that A064413(i) < A064413(k) < A064413(j). %C A382708 This is the number of occurrences of the pattern "132" in the first n terms of A064413. %H A382708 N. J. A. Sloane, <a href="/A382708/b382708.txt">Table of n, a(n) for n = 1..100</a> %e A382708 The first 5 terms of A064413 are 1, 2, 4, 6, 3, and at that point we can see four occurrences of the pattern "132", namely the triples 143, 163, 243, and 263, so a(5) = 4. %Y A382708 Cf. A064413, A152458, A382702-A382707. %K A382708 nonn %O A382708 1,5 %A A382708 _N. J. A. Sloane_, Apr 04 2025