107100
domain: N
Appears in sequences
- Number of primitive (period n) bracelets using a maximum of six different colored beads.at n=7A056347
- a(n) = 9*(n-2)^2 * (n^2 - 2*n - 1).at n=10A060788
- Denominator of sum of first n terms of the series 1/3 + 1/8 + 1/24 ... in which the denominators are one less than a perfect square that cannot otherwise be written as a power (cf. A062757, A037450).at n=18A062834
- Number of atoms in first n shells of type I hyperfullerene.at n=17A063497
- Numbers k such that sigma(k) - usigma(k) is a square and sets a new record for such squares.at n=32A063840
- Numbers k such that (k-1, k+1) and (k/2-1, k/2+1) are both pairs of twin primes.at n=14A076504
- Least k such that d(k) > product_{i=1..n} d(k-i)*d(k+i), where d(k) is the number of divisors of k.at n=1A103482
- Triangle of the numbers of different forests of m unrooted trees of smallest order 2, i.e., without isolated vertices, on N labeled nodes.at n=48A105786
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 4 and 7.at n=9A136839
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 5 and 7.at n=20A136856
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 6 and 7.at n=19A136860
- Numbers k such that k and k^2 use only the digits 0, 1, 4 and 7.at n=9A136863
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 7 and 8.at n=22A136864
- a(n) is smallest number with divisors which are congruent to 1, 2, ..., n-1 mod n.at n=35A140539
- Ratios of consecutive denominators of Stirling's expansion for the Gamma function.at n=14A154268
- Numbers with prime factorization pqr^2s^2t^2.at n=3A190379
- Record (maximal) gaps between prime 5-tuples (p, p+2, p+6, p+8, p+12).at n=7A201073
- Govindarajan's triangle C^{box 2} arising in enumeration of multi-dimensional partitions, read by rows.at n=46A216805
- Triangle read by rows, T(n,k) = C(2*n,n+k)*Sum_{m=0..k} (-1)^(m+k)*C(n+k,n+m)* Stirling1(n+m,m), for n>=0 and 0<=k<=n.at n=18A268440
- a(n) is the least positive number whose divisors have all possible residues mod n.at n=35A280171