30345
domain: N
Appears in sequences
- Numerators of continued fraction convergents to sqrt(742).at n=6A042428
- Fourth column (m=5) of array A090452.at n=8A090454
- a(n) = (n+1)^2*(n+2)*(2*n+3)/6.at n=16A108678
- One fifth of the sum of the first n primes, when an integer.at n=36A112271
- Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=8.at n=38A143451
- Sequence related to the Hankel transform of A105523(n+5).at n=32A181474
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k up-down cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1)<b(2)>b(3)<... .at n=61A186358
- Antidiagonal sums of the convolution array A213849.at n=32A213850
- Number of 3n-length 9-ary words, either empty or beginning with the first letter of the alphabet, that can be built by repeatedly inserting triples of identical letters into the initially empty word.at n=4A218479
- Total number of inversions in all partitions of n into distinct parts.at n=47A271371
- Numbers of the form A000217(n)*A007494(n) that are divisible by 3.at n=28A295867
- Partial sums of A108754.at n=46A307673
- Number of bracelets describing topological configurations of points and lines formed by the perpendicular bisectors of the sides of a convex cyclic n-gon.at n=12A350280