%I #9 Mar 31 2025 22:30:30

%S 0,0,1,1,1,7,7,17,17,17,38,38,38,74,74,119,119,119,185,185,263,263,

%T 263,368,368,368,504,504,657,657,657,847,847,847,1078,1078,1331,1331,

%U 1331,1631,1631,1956,1956,1956,2334,2334,2334,2769,2769,3234,3234,3234,3762,3762,4323,4323,4323,4953,4953,4953,5656,5656,6397,6397,6397

%N Number of triples (i,j,k), 1 <= i < j < k <= n such that A019444(i) < A019444(k) < A019444(j).

%C Counts occurrences of the pattern 132 in A019444. Note that the Catalan numbers (A000108) count permutations of 1,2,...,n that avoid the pattern 132.

%Y Cf. A000108, A019444, A382162, A382169.

%K nonn

%O 1,6

%A _N. J. A. Sloane_, Mar 31 2025