24273

Appears in sequences

• a(n) = (2*n+1)*(2*n+3)*(2*n+5).at n=13A061550
• a(n) = (3/2)*a(n-1) if a(n-1) is even; (3/2)*(a(n-1)+1) if a(n-1) is odd.at n=22A070885
• a(n) = (4*n+3)*(4*n+5)*(4*n+7).at n=6A133767
• a(n) = n^3 - (3*(n+3))^2.at n=33A153259
• Wiener index of a benzenoid consisting of a double-step zig-zag chain of n hexagons (n >= 2, s = 2123; see the Gutman et al. reference).at n=14A193395
• O.g.f.: 1/(1 - x/(1 - 2^3*x/(1 - 3^3*x/(1 - 4^3*x/(1 - 5^3*x/(1 - 6^3*x/(1 -...))))))), a continued fraction.at n=4A216966
• Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=10A239595
• a(n) is the result of factoring a(n-1) + 1 into primes, replacing each prime 2 with a 3, and taking the product of the resulting factors.at n=11A242438
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 - x/(1 - 2^k*x/(1 - 3^k*x/(1 - 4^k*x/(1 - 5^k*x/(1 - ...)))))).at n=32A290569
• Total volume of all rectangular prisms with dimensions q, p+q and |q-p| such that p and q are prime, n = p+q and p < q.at n=30A303231
• a(n) = Sum_{k=1..n} (A000330(n) mod k^2).at n=51A344711
• a(n) = n*(n + 2)*(n + 4).at n=27A370912
• Triangle read by rows: T(m, n, k) = 1 if k = 0 and T(m, n, k - 1) if k = n; otherwise (-1)^m*(k - n - 1)^m * T(m, n, k - 1) + T(m, n - 1, k) where m = 3.at n=13A371996
• Triangle read by rows: T(m, n, k) = 1 if k = 0 and T(m, n, k - 1) if k = n; otherwise (-1)^m*(k - n - 1)^m * T(m, n, k - 1) + T(m, n - 1, k) where m = 3.at n=14A371996
• Array read by descending antidiagonals: A family of generalized Catalan numbers generated by a generalization of Deléham's Delta operator.at n=31A372001