-980
domain: Z
Appears in sequences
- a(n) = Sum_{k=0..n-1} 9^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.at n=5A083013
- Inverse binomial transform of number triangle A105632.at n=72A105847
- Triangle of Hankel transforms of certain binomial sums.at n=17A120257
- Irregular triangle read by rows: T(n,k) (n>=1, 0<=k<=n(n-1)/2) is such that Sum_k T(n,k)*q^k gives the expectation of the number of connected components in a random graph on n labeled vertices where every edge is present with probability q.at n=47A125210
- Numerator of Bernoulli(n, 1/9).at n=5A158807
- Totally multiplicative sequence with a(p) = 7*(p-3) for prime p.at n=45A167317
- Reduced numerators of integral of the Stirling numbers of first kind.at n=41A238683
- Triangle read by rows, inverse Bell transform of Bell numbers.at n=41A264429
- a(n) = A000730(7*n).at n=21A282941
- Irregular triangle read by rows of normalized Girard-Waring formula (cf. A210258), for m=8 data values.at n=16A288188
- Expansion of g.f. A(x) satisfying Sum_{n>=0} Product_{k=1..n} (x^k + 3*A(x)) = 1 + 4*Sum_{n>=1} x^(n*(n+1)/2).at n=5A370143