123200

Appears in sequences

• a(n) = smallest number m such that for all k > m, either k or k+1 has a prime factor > prime(n).at n=5A002072
• Number of nonnegative solutions of x1^2 + x2^2 + ... + x10^2 = n.at n=36A045852
• Triangle read by rows, the Bell transform of n!*binomial(2,n) (without column 0).at n=48A049404
• Lesser of two consecutive numbers each divisible by a sixth power.at n=6A068784
• Denominators of a(n+1) = Sum_{k=0..n} a'(k^2/n), where a(0) = a(1) = 1; and a'(x) = a(x) if x is an integer and is linearly interpolated otherwise.at n=12A071299
• Generalized Stirling2 array (5,2).at n=9A091534
• First column (k=2) of array A091534 ((5,2)-Stirling2).at n=3A091535
• Triangle built from first column sequences of generalized Stirling2 arrays (m+2,2)-Stirling2, m >= 0.at n=24A091543
• Generalized Stirling2 array (-1,2)S2. Irregular triangle a(n, m) for n >= 1 and 2 <= m <= 2*n.at n=18A091752
• Indices of highly composite triangular numbers.at n=28A101755
• a(n) = binomial(n+3,3)*binomial(n+7,3).at n=9A104474
• Numbers k such that both k and k + 1 are logarithmically smooth.at n=12A116486
• Triangle, read by rows, where T(n,k) = n!/(k!*(n-3*k)!*3^k) for n>=3*k>=0.at n=29A118931
• a(n) is the smallest positive integer such that d(a(n))*d(a(n)+1) > d(a(n-1))*d(a(n-1)+1), where d(m) is the number of divisors of m and n > 1; a(1) = 1.at n=29A123000
• Numbers k not divisible by 6 such that sigma(k) > 3*k.at n=6A126104
• Coefficients of a partition transform for Lagrange inversion of -log(1 - u(.)*t), complementary to A134685 for an e.g.f.at n=34A133932
• Positive integers k such that all the distinct primes that divide k or k+1 are members of a set of consecutive primes. In other words, k is included if and only if k*(k+1) is contained in sequence A073491.at n=25A141399
• Largest number x such that x and x+1 are prime(n)-smooth but not prime(n-1)-smooth.at n=5A145606
• Denominator of Laguerre(n, 9).at n=11A160641
• Number of nX2 1..3 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in increasing order.at n=32A166814