58212

Appears in sequences

• Triangle read by rows, T(n, k) = binomial(n, k)*binomial(n + 2, k).at n=50A062196
• Replace all prime factors p of n with n-p.at n=43A072194
• a(n) = binomial(2*n+1, n+1)*binomial(n+4, 4).at n=5A085375
• a(n) = C(n+4,4) * C(n+6,6).at n=5A105947
• An inverse Chebyshev transform of n^3.at n=11A107233
• a(n) = binomial(n+5, 5) * binomial(n+7, 5).at n=4A107396
• Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n that have k double rises (n >= 1, k >= 0).at n=49A118963
• Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n that have k double rises (n >= 1, k >= 0).at n=50A118963
• Quasi-mirror of A062196 formatted as a triangular array.at n=40A124051
• Triangle T(n,k), 1<=k<=n, read by rows defined by :T(n,k)=C(n,k)*C(n-1,k-1)+C(n,k-1)*C(n-1,k)where C(n,k)=A007318(n,k) .at n=49A128821
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (0, -1, 1), (0, 1, -1), (1, 0, 1)}.at n=9A149456
• Triangle interpolating between (-1)^n (A033999) and the swinging factorial function (A056040) restricted to odd indices (2n+1)$ (A002457), read by rows.at n=33A163945
• The Wiener index of the P_3 X P_n grid, where P_m is the path graph on m nodes. The Wiener index of a connected graph is the sum of distances between all unordered pairs of nodes in the graph.at n=32A180569
• Numbers with prime factorization p*q^2*r^2*s^3 (where p, q, r, s are distinct primes).at n=21A190109
• Nonsquare numbers whose sum of proper square divisors is a square greater than 1.at n=19A232555
• Numbers whose sum of proper square divisors is a square greater than 1.at n=22A232556
• Regular triangle T(n,k) = binomial(2*n-2*k,n-k)*((n+1)/k)*Sum_{k=0..floor((k-1)/2)} (-1)^k*binomial(2*k,k)*binomial(n+3*k-2*k,k-2*k-1), read by rows.at n=29A306625
• a(n) = [x^n] G(x)^(n+1) / (n+1)^2 for n >= 0, where G(x) is the g.f. of A323693.at n=5A323694
• Fourier coefficients of the modular form (1/t_{6a}^3) * (1-12*sqrt(-3) / t_{6a})^(1/6) * F_{6a}^10.at n=18A341566
• Ordered product of the terms in a primitive Pythagorean quadruple (with repetitions).at n=35A367737