349504

Appears in sequences

• Reduced tangent numbers: 2^n*(2^{2n} - 1)*|B_{2n}|/n, where B_n = Bernoulli numbers.at n=6A002105
• Poupard's triangle: triangle of numbers arising in enumeration of binary trees.at n=36A008301
• Expansion of 1/((1-2*x)*(1-8*x)).at n=6A016131
• Infinite lower triangular matrix, M, that satisfies [M^2](i,j) = M(i+1,j+1) for all i,j>=0 where [M^n](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0.at n=51A078121
• Triangle of coefficients of a companion polynomial to the Gandhi polynomial.at n=21A083061
• a(n) = 10*a(n-2) - 16*a(n-4) for n>=4, with a(0)=a(1)=1, a(2)=6, a(3)=10.at n=13A083333
• Triangle T(n,k) read by rows given by [0, 1, 3, 6, 10, 15, 21, ...] DELTA [1, 3, 6, 10, 15, 21, 28,...] where DELTA is the operator defined in A084938.at n=27A087736
• Triangle T(n,k) read by rows given by [0, 1, 3, 6, 10, 15, 21, ...] DELTA [1, 3, 6, 10, 15, 21, 28,...] where DELTA is the operator defined in A084938.at n=29A087736
• Triangle read by rows: coefficients d(n,k) of André polynomials D(x,n) = Sum_{k>0} d(n,k)*x^k.at n=41A094503
• Another version of triangular array in A083061: triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 3, 6, 10, 15, 21, 28, ...] DELTA [1, 2, 3, 4, 5, 6, 7, 8, ...] where DELTA is the operator defined in A084938.at n=29A094665
• Triangle read by rows: T(n,k) = (k+1)*T(n-1,k) + (n-k+1)*T(n,k-1).at n=26A096078
• Triangle read by rows: T(n,k) = (k+1)*T(n-1,k) + (n-k+1)*T(n,k-1).at n=27A096078
• Triangle read by rows: number of simsun n-permutations with k descents.at n=40A113897
• Triangle read by rows: number of simsun n-permutations with k descents.at n=47A113897
• a(n) = 20*a(n-1) - 64*a(n-2) for n > 1; a(0) = 85, a(1) = 1364.at n=3A166917
• Coefficients of a set of infinite sum rational polynomials: p(x,n)=(-1 + x)^(m - 1)*( 1 - (1 + x)/(-1 + x))^(m + 1)*Sum[(k + 1)^(2*m - 1)*((x + 1)/( x - 1))^k, {k, 0, Infinity}].at n=36A171657
• Terms of A181666 of the form 3*k+1.at n=35A172126
• E.g.f.: (1+sqrt(2)*sin(x/sqrt(2))*cosh(x/sqrt(2))+sin(x/sqrt(2))*sinh(x/sqrt(2)))/(cos(x/sqrt(2))*cosh(x/sqrt(2))).at n=13A178964
• Left half of Poupard's triangle, A008301.at n=21A210108
• Number T(n,k) of permutations of [n] with exactly k occurrences of the consecutive step pattern up, down, down, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.at n=28A242820