22417
domain: N
Appears in sequences
- Number of forests of B-trees of order 3 with n labeled leaves.at n=24A058518
- Triangle of numbers related to the generalized Catalan sequence C(3;n+1) = A064063(n+1), n>=0.at n=30A115154
- Sixth diagonal (M=6) of triangle A115154 (called Y(3,1)).at n=2A115192
- a(n) = 7 + floor(Sum_{j=1..n-1} a(j) / 2).at n=20A120136
- E.g.f.: A(x) = Sum_{n>=0} exp(n^2*x) * x^n/n!.at n=6A135746
- 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), (-1, 1, 0), (0, 0, -1), (1, -1, 0), (1, 1, 1)}.at n=8A149694
- Total number of parts that are partition numbers A000041 in all partitions of n.at n=27A183088
- a(0)=0, a(1)=1, a(n) = min{3 a(k) + (3^(n-k)-1)/2, k=0..(n-1)} for n>=2.at n=35A259653
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 1006", based on the 5-celled von Neumann neighborhood.at n=36A273861
- Table of coefficients in row functions R(n,x) such that [x^k] exp( k^n * x ) / R(n,x) = 0 for k>=1 and n>=1.at n=26A304320
- O.g.f. A(x) satisfies: [x^n] exp( n^2 * x ) / A(x) = 0 for n>0.at n=5A304322
- Sum of the largest parts of the partitions of n into 5 parts.at n=41A308827
- Number of integer partitions of n into an odd number of parts, the greatest of which is odd.at n=44A340385
- Semiprimes k such that k+4, k+6, k+9, k+10 and k+14 are also semiprimes.at n=6A360666
- Numbers k such that k, k+1, k+2, k+3 have 2, 3, 4, 5 prime factors respectively, counted with multiplicity.at n=25A363391
- Numbers k such that k + 4, k + 6, k + 9, k + 10, and k + 14 are all semiprimes, where 4, 6, 9, 10, 14 are the first 5 semiprimes.at n=21A365240
- Number of fixed n-polyominoids, allowing right-angled connections only ("hard" polyominoids).at n=5A365655