18306

Appears in sequences

• Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node).at n=34A038621
• Number of labeled graphs with 2-colored nodes where black nodes are only connected to white nodes and vice versa.at n=6A047863
• Number of anisohedral polyominoes with n cells.at n=19A075206
• Number of 1's in all partitions of n with no even parts repeated.at n=33A117276
• Number of permutations of 1..n containing the relative rank sequence { 253614 } at any spacing.at n=3A159163
• A156977/3.at n=24A164565
• The function W_n(8) (see Borwein et al. reference for definition).at n=5A169712
• The function W_6(2n) (see Borwein et al. reference for definition).at n=4A169715
• Partial sums of Proth primes A080076.at n=23A172243
• Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X 2 array.at n=27A219211
• 4-step Fibonacci sequence starting with 0, 1, 1, 0.at n=18A251654
• Expansion of Product_{k>=1} 1/(1-x^k)^(k*(k-1)*(k-2)).at n=11A258351
• Square array A(n,k) = (n!)^2 [x^n] BesselI(0, 2*sqrt(x))^k read by antidiagonals.at n=59A287316
• Number of symmetrical fountains of n coins.at n=38A288005
• Array read by antidiagonals: T(n,k) is the number of graphs on n labeled nodes, each node being colored with one of k colors, where no edge connects two nodes of the same color.at n=42A322280
• a(n) is the number of words of length n over the alphabet {0,1,2} with at least two 1's and exactly one occurrence of the subword 22.at n=12A337142
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} k^(j*(n-j)) * binomial(n,j).at n=42A355395
• 31-gonal numbers: a(n) = n*(29*n-27)/2.at n=36A360488
• Array read by antidiagonals: T(n,k) = n! * Sum_{s} 2^(Sum_{i=1..k-1} s(i)*s(i+1))/(Product_{i=1..k} s(i)!) where the sum is over all nonnegative compositions s of n into k parts.at n=42A361950