24068

Appears in sequences

• Number of symmetric, reduced unit interval schemes with n+1 intervals (n>=1).at n=23A005213
• Construct triangle in which n-th row is obtained by expanding (1 + x + x^2)^n and take the next-to-central column.at n=10A005717
• Numbers whose base-5 representation contains exactly three 2's and three 3's.at n=24A045277
• Sum of n-th antidiagonal of array in A082002.at n=28A082005
• A diagonal above central terms of pendular trinomial triangle A122445, ignoring leading zeros.at n=7A122451
• Triangle read by rows: T(n,k) is the number of paths in the first quadrant from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k H steps (0<=k<=floor(n/2)).at n=43A132280
• Indices k such that 15 plus the k-th triangular number is a perfect square.at n=20A154145
• Numbers k for which 6k+1, 24k+5, 432k^2+72k-1, and 432k^2+90k-1 are all prime.at n=26A175513
• Triangle T(n,k) with the coefficient [x^k] of the series (1-x)^(n+1) * Sum_{j>=0} binomial(n+3*j,3*j)*x^j, in row n, column k.at n=47A178618
• Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=32A253503
• Numbers n such that Bernoulli number B_{n} has denominator 690.at n=39A272186
• Irregular triangle read by rows: T(n,m) = number of lattice paths of type A^H terminating at point (n, m).at n=31A291081
• One-fifth of the rolling arithmetic mean of the fifth powers of the natural numbers taken five at a time.at n=7A292185
• a(n) equals the coefficient of x^n in Sum_{m>=0} (x^m + 1 + 1/x^m)^m for n >= 1.at n=10A316591
• a(n) is the number of free, tree-like polyiamonds, of size 3*n+1, with 120-degree rotational symmetry formed of a central triangle and identical, non-intersecting snakes leading from each of its sides.at n=19A358709
• Number of L-connected free polyominoes with n cells (see comments for definition).at n=20A360055