111720
domain: N
Appears in sequences
- a(n) = Sum_{k=0..n} (k+1) * A026725(n, n-k).at n=13A027212
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,37.at n=11A064255
- Numbers that can be expressed as the difference of the squares of primes in exactly nine distinct ways.at n=14A092005
- Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.at n=3A162914
- Even octagonal pyramidal numbers (A002414).at n=23A218327
- Numbers k such that k+1, 2k+1, 3k+1, 4k+1 are all prime.at n=28A237189
- Coefficients of polynomials related to the sum of Gaussian binomial coefficients for q = 2. Triangle read by rows, T(n,k) for 0 <= k <= n.at n=48A329154
- Numbers k such that k + 1, 2k + 1, 3k + 1, 4k + 1, and 6k + 1 are all prime.at n=5A333721
- Numbers whose even divisors have an integer harmonic mean.at n=42A348412
- a(n) is the smallest n-gonal pyramidal number with exactly n prime factors (counted with multiplicity).at n=5A358865
- Triangle read by rows: T(n, k) = binomial(n, k)*binomial(2*n+k, k), 0 <= k <= n.at n=48A370258