22101

Appears in sequences

• Number of binary [ n,6 ] codes without 0 columns.at n=12A034347
• First differences are A005563.at n=39A047732
• A064637 converted to factorial base.at n=21A064477
• a(0) = 1; for n >= 1, a(n) = 4*a(n-1) - (2^n - 1).at n=8A079319
• a(0)=1; for n >= 1, a(n) = Sum_{k=0..n} 10^k*N(n,k), where N(n,k) = (1/n)*C(n,k)*C(n,k+1) are the Narayana numbers (A001263).at n=5A082148
• a(n) = N(5,n), where N(5,x) is the 5th Narayana polynomial.at n=10A090198
• a(n) = Sum_{k=0..floor(n/4)} C(n-2*k,2*k)*2^k.at n=19A098575
• 4-Smith numbers.at n=26A103125
• Number of permutations of length n which avoid the patterns 2143, 2341, 4312; or avoid the patterns 1234, 1432, 3412.at n=12A116774
• a(n) is the number of binary strings of length n such that no subsequence of length 5 or less contains 4 or more ones.at n=15A125513
• 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, 0, 0), (1, -1, 1), (1, 1, 0)}.at n=10A148670
• a(n) = (3 + 2*n + 6*n^2 + 4*n^3)/3.at n=25A166464
• a(n) = 12*n^2 - 2*n - 1.at n=43A185918
• Total number of ON cells in the "Ulam-Warburton" two-dimensional cellular automaton of A147562 after A048645(n) generations.at n=32A255264
• Number of non-isomorphic cross-balanced multiset partitions of weight n.at n=11A340651
• a(n) = Sum_{k=0..floor(n/2)} 2^k * binomial(2*n-2*k+1,2*k).at n=9A387624