26376

Appears in sequences

• Theta series of P_{12a} packing.at n=4A005952
• Number of nonnegative integer points (p_1,p_2,...,p_n) in polytope defined by p_0 = p_{n+1} = 0, 2p_i - (p_{i+1} + p_{i-1}) <= 2, p_i >= 0, i=1,...,n. Number of score sequences in a chess tournament with n+1 players (with 3 outcomes for each game).at n=8A007747
• Aliquot sequence starting at 564.at n=8A014361
• Numbers whose set of base 13 digits is {0,C}, where C base 13 = 12 base 10.at n=9A097259
• McKay-Thompson series of class 32a for the Monster group.at n=41A107635
• a(n) = (n+1)(n+2)^2*(n+3)(2n+3)(5n^2 + 19n + 20)/720.at n=6A107969
• Expansion of (theta_2(q)^8 + 4 * theta_2(q^2)^8) / 256 in powers of q^2.at n=25A204386
• Column 0 of square array A211970 (in which column 1 is A000041).at n=30A211971
• Number of nX4 0..1 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=4A223223
• Number of nX5 0..1 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=3A223224
• T(n,k)=Number of nXk 0..1 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=31A223227
• T(n,k)=Number of nXk 0..1 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=32A223227
• Number of partitions p of n such that the number of distinct parts is a part or max(p) - min(p) is a part.at n=42A241391
• a(n) = (n - 1)*(n^3 + 1) = n^4 - n^3 + n - 1, for n >= 1.at n=12A242604
• Total number of inversions in all partitions of n into distinct parts.at n=46A271371
• a(n) = n*(n^3 + 2*n^2 - 5*n + 10)/8.at n=21A294259
• Triangle read by rows: T(n,k) is the number of ordered partitions of [n] into k nonempty subsets, in which the first subset has size at least 2, n >= 1 and 1 <= k <= n.at n=31A348576
• Triangular array read by rows. T(n,k) is the number of regular elements in the semigroup of all binary relations on [n] that have rank k, n>=0, 0<=k<=n.at n=13A363036
• Number of (curved) edges formed when n equally spaced points are placed around a circle and all pairs of points are joined by an interior arc whose radius equals the circle's radius.at n=23A371255
• a(n) = Sum_{k=0..floor(n/2)} 2^(n-2*k) * binomial(2*k,2*n-4*k).at n=17A387647