18334

Appears in sequences

• Number of plane partitions (or planar partitions) of n.at n=17A000219
• Numbers k such that k^512 + 1 is prime.at n=39A057465
• Numbers k such that k*k! - 1 is prime.at n=24A090704
• Number of compositions of n where the smallest part is greater than or equal to the number of parts.at n=45A098131
• a(n) is the number of integers k less than 10^n such that the decimal representation of k lacks the digits 1,2,3,4, at least one of digits 5,6 and at least one of digits 7,8,9.at n=5A126643
• G.f.: A(x) = 1 + Sum_{n>=1} x^(n^2) * ((1-x)^n + 1/(1-x)^n).at n=45A197707
• Number of compositions of n such that the number of parts and the largest part and the smallest part are pairwise not coprime.at n=25A199891
• Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical, diagonal and diagonal neighbors, with values 0..2 introduced in row major order.at n=2A231311
• Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical, diagonal and diagonal neighbors, with values 0..2 introduced in row major order.at n=1A231312
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical, diagonal and diagonal neighbors, with values 0..2 introduced in row major order.at n=7A231315
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical, diagonal and diagonal neighbors, with values 0..2 introduced in row major order.at n=8A231315
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 35", based on the 5-celled von Neumann neighborhood.at n=29A269816
• Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=8A302619
• Expansion of Product_{i>=1, j>=1, k>=1, l>=1} (1 - x^(i*j*k*l))/(1 + x^(i*j*k*l)).at n=22A321302
• a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units without partitioning a triangle into 3 element sets of trapezoids.at n=27A391452