504000
domain: N
Appears in sequences
- Expansion of e.g.f. sech(tan(x)*arcsin(x)) (only even powers).at n=5A012386
- a(0) = 1; for n > 0, a(n) = (n!*(3*n+1))/2.at n=8A066114
- a(n) = Sum_{k=1..prime(n)-1} floor(k^3/prime(n)).at n=30A078837
- Generalized Stirling2 array S_{5,5}(n,k).at n=8A090216
- Magic products of 5 X 5 multiplicative magic squares.at n=12A111031
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=13.at n=32A135198
- a(n)=2a(n-1) but when sum of digits of 2a(n-1) is greater than 9 take a(n) = largest number < 2a(n-1) which has sum of digits = 9.at n=19A140134
- Partition number array, called M31(4), related to A049352(n,m)= |S1(4;n,m)| (generalized Stirling triangle).at n=48A144354
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} for which k is the maximal number of initial odd entries (0 <= k <= ceiling(n/2)).at n=37A152662
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} for which k is the maximal number of initial even entries (0 <= k <= floor(n/2)).at n=31A152664
- Product_{k=1..n} floor(2*n/k - 1).at n=13A207646
- Triangle, read by rows, where T(n,k) = k!*C(n, k)*5^(n-k) for n>=0, k=0..n.at n=42A218016
- Composite numbers m such that Sum_{i=1..k} (p_i/(p_i+1)) + Product_{i=1..k} (p_i/(p_i-1)) is an integer, where p_i are the k prime factors of m (with multiplicity).at n=36A230110
- Number of strings of n decimal digits that contain at least one string of exactly 5 consecutive "0" digits.at n=10A255375
- Number of strings of n decimal digits that contain at least one string of exactly 6 consecutive "0" digits.at n=11A255376
- Number of strings of n decimal digits that contain at least one string of exactly 7 consecutive "0" digits.at n=12A255377
- Number of strings of n decimal digits that contain at least one string of exactly 8 consecutive "0" digits.at n=13A255378
- Number of strings of n decimal digits that contain at least one string of exactly 9 consecutive "0" digits.at n=14A255379
- Number of strings of n decimal digits that contain at least one string of exactly 10 consecutive "0" digits.at n=15A255380
- Number of strings of k+n decimal digits that contain one string of exactly k consecutive "0" digits, where k >= n.at n=5A255381