168168

Appears in sequences

• Apéry numbers: a(n) = n^2*C(2n,n).at n=7A002736
• Tenth column of trinomial coefficients.at n=9A064054
• Triangle T(n, k) of numbers of square lattice walks that start and end at origin after 2*n steps and contain exactly k steps to the east, possibly touching origin at intermediate stages.at n=29A069466
• Triangle T(n, k) of numbers of square lattice walks that start and end at origin after 2*n steps and contain exactly k steps to the east, possibly touching origin at intermediate stages.at n=34A069466
• a(n) = (2n)!/(phi(2n)!)^2.at n=6A072116
• Form array in which n-th row is obtained by expanding (1+x+x^2)^n and taking the 5th column from the center.at n=9A098470
• Series expansion for mean-squared radius of gyration of rectangles on square lattice.at n=13A121782
• Duplicate of A069466.at n=29A141902
• Duplicate of A069466.at n=34A141902
• a(n) = lcm(n^2, swinging_factorial(n)).at n=14A181860
• Triangle of numerators of the coefficients t(n,k) in the formula B(2n) = -sum_{k=1..n-1} t(n,k)*B(2k)*B(2n-2k), where the B() are the even-indexed Bernoulli numbers.at n=23A228969
• Triangle read by rows: coefficients of the partial fraction decomposition of [d^n/dx^n] (x/(1-x))^n/n!.at n=51A253283
• Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^H}_R terminating at point (n, m).at n=54A291080
• Numbers which are represented by more than one partition of the same integer.at n=34A325306
• Triangle read by rows. T(n, k) = (1/2) * binomial(2*(n - k + 1), n - k + 1) * binomial(2*n - k, k - 1) for n > 0, T(0, 0) = 1.at n=49A360282
• Positive integers whose maximum frequency in a fixed row of A036038 (or A078760) is equal to 2, i.e., numbers m such that A376663(m) = 2.at n=33A376669