8316000
domain: N
Appears in sequences
- Four numbers (a,b,c,d) with a<b<c<d that satisfy sigma(a) = sigma(b) = sigma(c) = sigma(d) = a+b+c+d are called an amicable quadruple. We order these quadruples according to the common value of sigma. The values of (a, b, c, d, sigma) are in (this sequence, A036472, A036473, A036474, A116148) respectively.at n=20A036471
- Triangle T(n,k)=number of forests of labeled rooted trees with n nodes, containing exactly k trees of height one, all others having height zero (n>=0, 0<=k<=floor(n/2)).at n=40A133399
- a(n) is the least number such that there are n semiprimes pq such that (p+1)(q+1) = a(n) for each semiprime.at n=30A180334
- Members of A025487 whose prime signature is self-conjugate (as a partition).at n=19A181825
- Series reversion of (1 - t*x)*log(1 + x) with respect to x.at n=32A198204
- Numbers n such that there exists a pair x,y, where x<y, x! = n and y! = n, that makes {x,y,n,n} an amicable multiset.at n=19A273969
- Number of permutations of [n] such that for each cycle c the smallest integer interval containing all elements of c has at most nine elements.at n=11A276843
- Number of elements of order n in simple Higman-Sims group HS.at n=7A284915
- Numbers between a pair of consecutive highly abundant numbers (A002093) having the same sum of divisors as the lesser one.at n=6A308574
- Triangle read by rows: T(n,k) is the number of achiral colorings of the edges of a regular n-dimensional simplex using exactly k colors. Row n has (n+1)*n/2 columns.at n=29A327090
- a(n) is the smallest number with exactly n divisors that are n-gonal pyramidal numbers.at n=8A358540
- E.g.f. satisfies A(x) = 1/(1 - x^2*A(x))^x.at n=10A375830
- Expansion of e.g.f. exp(x^2 * (1 + x)).at n=11A376512