1306368

Appears in sequences

• Triangle of coefficients in expansion of (1+6x)^n.at n=42A013613
• Number of noninvertible 2 X 2 matrices over Z/nZ (determinant is a divisor of 0).at n=34A020479
• a(n) = 12^n - n^8.at n=6A024148
• a(n) = Sum_{k=0..2n} (k+1)*T(n,k), where T is given by A026536.at n=13A027271
• Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*6^j.at n=34A038236
• Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j).at n=38A038255
• Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*4^j.at n=29A038258
• Values of x in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z. (If a z-value occurs twice, list solutions in increasing order of y.)at n=22A070065
• a(n) = n^n*binomial(n+2, 2).at n=6A081133
• 6th binomial transform of (0,0,1,0,0,0, ...).at n=8A081136
• Number of divisors of A104350(n).at n=35A104352
• A triangle of coefficients of a Moebius-transformed Pascal triangle as a sum: b(x,y,n)=Sum[Binomial[n,i]*x^i*y^(n-i),{i,0,n}]; transforms: x'->(a1*x + b1)/(c1*x + d1); y'->(a2*y + b2)/(c2*y + d2); b1(x,y,n)=(c1*x + b1)^(k)*(c2*y + d2)^(k)*b(x',y',n); f(x,y,z,n)=b1(x,y,n)+b1(y,z,n)+b1(z,x,n).at n=29A139815
• Triangle T(n, k) = 0 if BernoulliB(n-k) = 0 otherwise round( binomial(n, k)/BernoulliB(n-k)^k ), read by rows.at n=42A156811
• Triangle read by rows: T(0,0) = 1; T(n,k) = 6*T(n-1,k) + T(n-2,k-1) for k = 0..floor(n/2); T(n,k)=0 for n or k < 0.at n=32A304255
• Triangle read by rows: T(n, k) = binomial(n, k - 1) * (k - 1)^(k - 1) * (n - k) * (n - k + 1)^(n - k) / 2.at n=43A368982
• Triangle read by rows: T(n, k) = floor(binomial(n, k - 1) * (k - 1)^(k - 1) * k *(n - k + 1)^(n - k) / 2).at n=39A369025
• Record values in A085908.at n=30A376280