36036

Appears in sequences

• Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=33A020875
• Expansion of 1/(1-4*x)^(7/2).at n=5A020918
• Theta series of A_12 lattice.at n=3A023903
• Theta series of A*_12 lattice.at n=39A023924
• Array T(i,j) = binomial(-1/2-i,j)*(-4)^j, i,j >= 0 read by antidiagonals going down.at n=39A046521
• a(n)=a(n-1)+a(m), where m=2n-2-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.at n=39A050059
• a(n) = binomial(2n,n)*n*(2n+1)/2.at n=6A051133
• Number of ways to place 3 nonattacking queens on a 3 X n board.at n=36A061989
• Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,31.at n=5A064252
• Triangle read by rows: T(n,m) = C[n,m,m] where C[i,j,k] is the 3-dimensional Catalan pyramid defined by C[0,0,0]=1 and C[i,j,k]=0 if j>i or k>j and C[i,j,k]=C[i-1,j,k]+C[i,j-1,k]+C[i,j,k-1].at n=26A065077
• Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n).at n=33A079908
• a(n) = A081470(n)/n.at n=9A081471
• Denominator of 2*Sum(C(n,w)/w,w=1..n/2-1)+C(n, n/2)/(n/2) if n is even otherwise of 2*Sum(C(n,w)/w,w=1..(n-1)/2).at n=24A085572
• This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,7). The p-th row (p>=1) contains a(i,p) for i=1 to 7*p-6, where a(i,p) satisfies Sum_{i=1..n} C(i+6,7)^p = 8 * C(n+7,8) * Sum_{i=1..7*p-6} a(i,p) * C(n-1,i-1)/(i+7).at n=22A087111
• a(n) is the least number with n palindromic divisors.at n=22A087997
• Triangle read by rows: T(n,k)=(1/2)*C(n+k,k)*C(n,n-k).at n=32A092370
• a(n) = C(n+2,2)*C(n,floor(n/2)).at n=11A107231
• Triangle read by rows: T(n,k) = binomial(2k+2,k+1)*binomial(n,k)/(k+2) (0 <= k <= n).at n=51A108198
• Sum of numbers under a triangle on a spiral staircase of width 10.at n=25A111080
• a(n) = number of standard Young tableaux of type (n,n-1,n-1).at n=5A123691