57222

Appears in sequences

• Number of partitions of n into parts of 3 kinds.at n=16A000716
• Specific heat coefficients for square lattice spin 5/2 Ising model.at n=41A010114
• Numbers k such that 87*2^k+1 is prime.at n=34A032393
• Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=32A085788
• Diagonal above central terms of pendular trinomial triangle A122445, ignoring leading zeros.at n=8A122450
• Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y>=3z.at n=35A212519
• Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y>3z.at n=35A212522
• Let G denote the 7-node, 12-edge graph formed from a hexagon with main diagonals drawn and a node at the center; a(n) = number of magic labelings of G with magic sum 2n.at n=10A244866
• Irregular triangle read by row: T(n,k), n>=1, k>=1, in which column k lists the numbers of A000716 multiplied by A000330(k), and the first element of column k is in row A000217(k).at n=50A252117
• Numbers n such that n-19, n-1, n+1 and n+19 are consecutive primes.at n=3A262668
• a(n) is the number of integer triples (x,y,z) satisfying a system of linear inequalities and congruences specified in the comments.at n=49A370349