57155

Appears in sequences

• a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=35A000447
• Odd tetrahedral numbers: a(n) = (4*n+1)*(4*n+2)*(4*n+3)/6.at n=17A015219
• Binomial coefficients C(n,68).at n=3A017732
• Binomial coefficients C(71,n).at n=3A017787
• Squarefree tetrahedral numbers.at n=22A070755
• Define b by b(1) = 1 and for n>1, b(n) = b(n-1)+1/(3+1/b(n-1)); sequence gives numerator of b(n).at n=3A080988
• a(n) = binomial(prime(n+2), 3).at n=18A126995
• a(n) = n^4 - 10n^3 + 35n^2 - 48n + 23.at n=17A137864
• Tetrahedral numbers k*(k+1)*(k+2)/6 such that exactly one of k, k+1, and k+2 is prime.at n=39A144521
• Sequence related to Hankel transform of super-ballot numbers.at n=33A156126
• a(n) = 34*n^2 + 1.at n=41A158586
• a(n) = binomial(3*n+2,3).at n=22A228888
• Triangle read by rows: T(n,k) is the number of inequivalent colorings of lone-child-avoiding rooted trees with n colored leaves using exactly k colors.at n=42A339645
• Tetrahedral (or triangular pyramidal) numbers which are products of four distinct primes.at n=8A353027
• Triangle read by rows, T(n,k) = (binomial(n,k)^3 - binomial(n,k))/6 for k=1..n-1 and n >= 2.at n=24A373101