92169
domain: N
Appears in sequences
- a(n) = ceiling(a(n-1)*3/2) with a(1) = 1.at n=27A061419
- Number of numbers whose base-3/2 expansion (see A024629) has n digits.at n=27A081848
- Triangle T(n,k) read by rows: (1/n) * C(2n+k,k-1) * C(n,k); n, k >= 1.at n=33A102537
- Denominators associated with A120031.at n=10A120032
- 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, 0), (-1, 0, 0), (1, -1, 1), (1, 0, -1), (1, 1, 1)}.at n=9A149698
- Values of register b when register a becomes 0 for the two register machine {i[1], i[1], i[1], d[2,1], d[1,6], i[2], d[1,5], d[2,3]}.at n=27A156623
- Number of n X 4 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4.at n=7A197369
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4.at n=58A197373
- Number of permutations of length 3n with descent set {3, 6, ...} that avoid a certain pattern of length 4 or 5 (see Lewis, 2012, Appendix, for precise definition).at n=4A217822
- Triangle read by rows: the reversed x = 1+q Narayana triangle at m=2.at n=30A243662
- a(n) = Sum_{k=0..2*n/3} C(n-k,2*k-n)^2.at n=25A298567
- a(n) is the least number with n factorizations into S-primes (numbers 4k+1 with no proper divisors > 1 of form 4m+1).at n=5A321337
- Where the number of divisors d(k) reaches a new record for numbers k whose prime factors are of the form 4*j+3.at n=13A326313
- Number of walks on cubic lattice starting at (0,0,0), ending at (0,0,n), remaining in the first (nonnegative) octant and using steps which are permutations of (-2,1,2), (-1,0,2), (-1,1,1), (0,0,1).at n=8A328267
- a(n) is the denominator of Product_{i=0..n-1} (n-i)^((-1)^ceiling(i/2)).at n=19A337355
- Partition the integers from 1 to n into three groups with consecutive numbers, then a(n) is the maximum value of the sum of the numbers in the second group multiplied by the minimum of the sum of the numbers in the first and third groups.at n=38A342713
- G.f. satisfies A(x) = 1 + x^5 / (1 - x*A(x)).at n=34A365698
- Numbers that are divisible by the squares of two distinct primes and whose arithmetic derivative (A003415) is a squarefree number of the form 4k+2.at n=28A368697