52132

Appears in sequences

• Number of nX3 1..2 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=36A166781
• The index of Simon's piecewise testability congruence, for words of length 2 over an n-letter alphabet.at n=4A229954
• Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having exactly k descents, n>=0, 0<=k<=n.at n=81A238121
• Irregular triangle read by rows: T(n,k) gives the number of ballot sequences of length n having k descents, n>=0, 0<=k<=A083920(n-1).at n=46A238122
• Number of ballot sequences of length n having exactly three descents.at n=6A241796
• Number of integer partitions of n whose unsigned differences have the same GCD as the GCD of their parts all minus 1.at n=42A328164
• Number of integer partitions of n that can be partitioned into sets with distinct sums.at n=45A381992