20444

Appears in sequences

• Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=42A001976
• 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, 0, 0), (0, 1, 1), (1, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=7A151015
• Number of permutations of 1..n with displacements restricted to {-5,-4,-3,0,1,2}.at n=13A189588
• Number of partitions p of n such that (number of numbers in p of form 3k+1) = (number of numbers in p of form 3k+2).at n=44A241738
• a(n) = Sum_{k=0..7} (n + k)^2.at n=47A276026
• Number of n X 2 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=5A279523
• T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=22A279527
• T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=26A279527
• Number of nX6 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=1A280283
• T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=22A280284
• T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=26A280284
• T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=26A281653
• Number of 6Xn 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=1A281658
• G.f. B(x) satisfies: B(x) = (1 - x^2*B(x)^2) / (1 - 2*x*B(x))^2.at n=5A341962
• Numbers k such that k + sopfr(k) is a fourth power.at n=5A387246