23100
domain: N
Appears in sequences
- a(n) = 35*(n+1)*binomial(n+4, 7)/4.at n=4A027803
- Number of diagonal dissections of an n-gon into 4 regions.at n=9A033276
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=40A049791
- There are exactly n integer-sided triangles of area a(n).at n=28A051586
- a(1)=1, a(2)=2; thereafter, a(n) is the smallest number m not yet in the sequence such that every prime that divides a(n-1) also divides m.at n=32A060735
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 23 (most significant digit on right).at n=24A061952
- Triangle read by rows: T(n, k) = [z^k] P(n, z) where P(n, z) = Sum_{k=0..n} binomial(n, k) * Pochhammer(n - k + c, k) * z^k / k! and c = 4.at n=40A062145
- Coefficient triangle for certain polynomials N(2; n,x) (rising powers of x).at n=32A062991
- Number of atoms in first n shells of type I hyperfullerene.at n=10A063497
- Non-palindromic numbers such that either x=q1.Rev[x] or Rev[x]=q2.x, where R[x]=A004086[x] and q1 or q2 are integers not divisible by 10.at n=18A071687
- Sum of factorials of digits of n equals the largest prime factor of n.at n=16A074257
- Integers k such that omega(k) = omega(k-1) + omega(k-2) + omega(k-3), where omega(n) is the number of distinct prime factors of n.at n=16A076252
- Triangle read by rows: T(n, k) = binomial(2*n, k-1)*binomial(2*n-k-1, n-k)/n for n, k >= 1, and T(n, 0) = 0^n.at n=40A094385
- Lcm[{ad(n)}], i.e. the least common multiple of the anti-divisors of n.at n=35A096357
- Triangle read by rows: T(n,k) is the number of permutations of [n] with exactly k increasing runs of odd length.at n=38A097591
- a(n) = binomial(n+4,4)*binomial(n+7,7).at n=4A107419
- Value of Product[k/sd(k,3),k=1..n], where sd[k,b] is the sum of the digits of k represented in base b.at n=10A109490
- Sequence related to NOR bracketings.at n=10A112521
- Triangle read by rows: T(n,k) = n!*(n+k-1)!/((n-k)!*(n-1)!*(k!)^2) for 0 <= k <= n, with T(0,0) = 1.at n=40A123160
- Experience Points thresholds for levels in the pen and paper role-playing game "Das Schwarze Auge" (DSA, a.k.a. "The Dark Eye").at n=21A124437