53550

Appears in sequences

• a(n) = n + (n+1)^2 + (n+2)^3 + (n+3)^4.at n=12A027621
• Matrix square of Stirling2 triangle A008277: 2-levels set partitions of [n] into k first-level subsets.at n=51A039810
• Triangle of generalized Stirling numbers of 2nd kind.at n=48A046817
• a(n) = 9*(n-2)^2*(n^2-2*n-1)/2.at n=10A064199
• Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,57.at n=11A065697
• Numbers j such that j and 2j are both between a pair of twin primes.at n=14A066388
• Areas of integer Heronian triangles [A068967(n), prime(A068967(n)), A068968(n)].at n=12A068969
• Numbers k such that k-1, k+1, 2*k-1, 2*k+1, 3*k-1 and 3*k+1 are primes.at n=1A118859
• Triangle T(n,k) of number of labeled directed multigraphs (with loops), without isolated vertices, with n arrows and k vertices (n = 1,2,.., k = 1..2*n).at n=24A120945
• Averages of twin primes such that the sum of the lower, average and upper parts of the twin primes are averages of other twin primes.at n=21A132929
• Smallest number which is an unordered sum of two odd abundant numbers in exactly n ways.at n=32A187743
• Numbers with prime factorization pqrs^2t^2.at n=31A189989
• Numbers m such that exactly four subsets of {m-1, m, m+1} sum up to a prime number.at n=17A221310
• Number of partitions of 4n into at most 5 parts.at n=26A256539
• a(n) = n*(n + 1)*(4*n - 1)/3.at n=34A268684
• G.f.: 3F2([1/9, 5/9, 8/9], [1/3, 1], 729 x).at n=2A275455
• a(n) = 25*(n + 1)*(4*n + 3)*(5*n + 4)/3.at n=6A300254
• Expansion of 30*x*(1 + x) / (1 - x)^4.at n=16A316459
• a(n) = A328613(A276086(n)).at n=47A328763
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 2/(1 - 2*k*x + ((k-2)*x)^2 + (1 - k*x) * sqrt(1 - 2*k*x + ((k-2)*x)^2)).at n=60A331791