32725

Appears in sequences

• a(n) = (F(3*n) - 2*F(n))/6, where F=A000045 (the Fibonacci sequence).at n=9A049674
• a(n) = 2^(n+2) - 3*n - 4.at n=12A095264
• Where record values of A119791 occur.at n=28A119793
• Row sums of triangle A134480.at n=33A134481
• Partition number array, called M32(-5), related to A013988(n,m)= |S2(-5;n,m)| ( generalized Stirling triangle).at n=37A144268
• Triangle read by rows: T(n,k) = number of partitions of [1..k] into n nonempty clumps of sizes 1, 2, 3, 4 or 5 (n >= 0, 0 <= k <= 5n).at n=44A151338
• The triangle in A151338 read by rows downwards.at n=59A151509
• The triangle in A151338 read by rows upwards.at n=61A151510
• Number of non-complete compositions of n.at n=16A188575
• Denominator of A010786(n+1) / A010786(n).at n=34A208450
• Degrees of irreducible representations of orthogonal group O10-(2).at n=26A214475
• Partitions of n labeled elements into subsets of two or three elements.at n=11A227937
• Occurrences of decrease of the probability density P(n) of coprime numbers k,m, satisfying 1 <= k <= a(n) and 1 <= m <= a(n), and a(n) congruent to 1 (mod 2) and a(n) not congruent to 3 (mod 6).at n=11A280879
• G.f.: Sum_{k>=1} x^(2*k)/(1+x^(2*k)) * Product_{k>=1} 1/(1-x^k).at n=37A305121
• Number of subsets of the initial segment of the natural numbers strictly below n which are not self-measuring. Number of subsets S of [n] with S != distset(S).at n=15A350105
• Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of cluster density function for site percolation on an n X n 2D triangular lattice with periodic boundary conditions.at n=38A365940
• The smallest number k whose divisors include exactly n Duffinian numbers (A003624).at n=19A373969
• Lexicographically earliest sequence of distinct positive integers in which any three consecutive terms are pairwise coprime whereas the squarefree kernel of their product is a primorial number (A002110).at n=57A374916
• Triangle read by rows where T(n,k) is the number of separable type set partitions of {1..n} into k blocks.at n=59A386635