44352

Appears in sequences

• Expansion of theta series of {E_7}* lattice in powers of q^(1/2).at n=39A003781
• Theta series of the coset of the E_7 lattice in its dual.at n=9A005931
• Coefficients of Chebyshev T polynomials: a(n) = A053120(n+12, n), n >= 0.at n=6A006976
• a(n) = 7*(n+1)*binomial(n+5,7).at n=5A027812
• a(n) = 126*(n+1)*binomial(n+5,9)/5.at n=3A027814
• Nonzero coefficients in theta series of {E_7}* lattice.at n=19A030443
• Fourier coefficients of Eisenstein series of degree 2 and weight 6 when evaluated at Gram(A_2)*z.at n=3A037150
• a(n) = n*(n+1)*(n^2 - 3*n + 6)/4.at n=21A062026
• Coefficient triangle of certain polynomials N(4; m,x).at n=41A062264
• Triangle T(n,k) generalizing the tangent numbers.at n=12A064190
• Maximal degree of an irreducible representation of the group of n X n signed permutation matrices.at n=10A066051
• Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = Sum_{k=l..m} 2^k * binomial(2*m-2*k, m-k) * binomial(m+k, m) * binomial(k, l).at n=16A067001
• Compute S, the number of different quadratic residues modulo B for every base B. If the density S/B is smaller for B than for every B' less than B, then B is added to the sequence.at n=38A085635
• Number of partitions of n in which no parts are multiples of 25.at n=41A092885
• 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=30A098273
• a(n) = binomial(n+3,n)*binomial(n+7,n).at n=5A105250
• Denominator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^2)).at n=10A111930
• Denominator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^2)).at n=11A111930
• a(n) = n*binomial(2*n, n)*Fibonacci(n).at n=6A119701
• Triangle read by rows: T(n,k) = n!*(n+k-1)!/((n-k)!*(n-1)!*(k!)^2) for 0 <= k <= n, with T(0,0) = 1.at n=41A123160