22880

Appears in sequences

• Denominators of coefficients of Green function for cubic lattice.at n=7A003283
• a(n) = n*(n+1)*(2*n+1)/3.at n=32A006331
• Theta series of A*_15 lattice.at n=63A023927
• a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n and s(0) = 3. Also a(n) = Sum{T(n,k), k = 0,1,...,[ (n+3)/2 ]}, where T is defined in A026022.at n=15A026023
• Elements to the right of the central elements of the even-Pascal triangle A028326 that are not 2.at n=49A028331
• Distinct elements to the right of the central elements of the even-Pascal triangle A028326.at n=47A028332
• "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=43A032246
• Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=36A032540
• Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=49A035955
• Triangle read by rows: T(n,k) = number of 2 X inf arrays [ n, n1, n2, ...; k, k1, k2,... ] with n>=n1>n2>...>=0, k>=k1>k2...>=0, n>k, n1>k1, ...; n >= 1, k >= 0. Note that once ni or ki = 0, the strict inequalities become equalities (constant 0 thereafter).at n=42A039597
• T(2n+6,n), array T as in A055794.at n=9A055799
• Array by antidiagonals: Number of planar lattice walks of length 3n+2k starting at (0,0) and ending at (k,0), remaining in the first quadrant and using only NE,W,S steps.at n=37A098273
• Triangle read by rows: T(n,k)=2^k*binomial(2n-k,n-k), 1<=k<=n.at n=40A112326
• Triangle read by rows: T(n,k)=k^3*2^k*binomial(2n-k,n-k)/(2n-k) (1<=k<=n).at n=37A112327
• a(0) = a(1) = 1, a(2) = 2; a(n) = 2*a(n-2) + a(n-1)*a(n-3).at n=8A134455
• a(n) = x(n) * 2^((n mod 2 - 1)/2), with x(n)=Sum(x(k)*x(n-k-1):0<=k<n), x(0)=SQRT(2).at n=8A137697
• Triangle read by rows: T(n,k)=k*binomial(n-2k,3k+1) (n>=6, 0<=k<=(n-1)/5).at n=28A138779
• Triangle T(n,k) = binomial(2*n,k) *binomial(2*n-2*k,n-k), read by rows; 0<=k<=n.at n=43A142243
• Sums of the antidiagonals of Sundaram's sieve (A159919).at n=38A159920
• a(n) = 2 * C(2*n,n-1).at n=8A162551