29645

Appears in sequences

• Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite DFO = DAF-1 [Mg14Al52P66O264].7R.40H2O starting with a T1 atom.at n=6A019007
• Numerator of Product{prime(k)^2/(prime(k)^2 - 1) | 0<k<=n}, Denominator: A072045.at n=5A072044
• Expansion of x*(1+8*x)/((1-8*x)*(1+11*x+64*x^2)).at n=7A112259
• Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 3*T(n-1,k-1) + 2*T(n-1,k).at n=41A119725
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, 1), (0, 1, 1), (1, 1, -1), (1, 1, 1)}.at n=7A151225
• a(0)=0, a(1)=6, a(n)=a(n-1)+a(n-2)-1.at n=20A187892
• Wiener index of a benzenoid consisting of a double-step spiral chain of n hexagons (n>=2, s=21; see the Gutman et al. reference).at n=16A193397
• G.f.: A(x) = exp( Sum_{n>=1} 5*5^A112765(n) * x^n/n ), where A112765 is the exponent of the highest power of 5 dividing n.at n=19A195760
• a(n) = n*(n + 1)*(n + 2)*(3*n + 17)/24.at n=20A241765
• Prime factorization representation of Stern polynomials: a(0) = 1, a(1) = 2, a(2n) = A003961(a(n)), a(2n+1) = a(n)*a(n+1).at n=52A260443
• Even bisection of A260443 (the odd terms): a(n) = A260443(2*n).at n=26A277323
• Heinz numbers of integer partitions such that the difference between the length of the minimal square containing and the maximal square contained in the Young diagram is 1.at n=43A325179
• Numbers k such that 30*k - 1, 30*k + 1, 30*k^2 - 1 and 30*k^2 + 1 are all prime.at n=39A359184