30024

Appears in sequences

• Gaps of 8 in sequence A038593 (upper terms).at n=19A038656
• G.f. = { 1+sum(4*n*q^n, n=1..infinity)} / { theta series for square lattice }.at n=20A079902
• Sizes of successive increasing gaps between 3-smooth numbers.at n=43A084788
• Generalized Stirling2 array S_{4,4}(n,k).at n=10A090214
• 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, 1), (-1, 1, -1), (1, -1, 0), (1, 1, 0)}.at n=9A149153
• Number of planar n X n X n binary triangular grids with no more than 5 ones in any 3 X 3 X 3 subtriangle.at n=5A153526
• The fifth row of the ED2 array A167560.at n=7A167562
• 1/12 the number of (n+2)X3 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=3A184499
• 1/12 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=0A184502
• T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=6A184505
• T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last.at n=9A184505
• Cumulated number of increasing admissible cuts of rooted plane trees of size n.at n=7A216234
• Numbers k such that A248891(k) = 2.at n=23A248902
• The maximal number of partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles, and which have the same number of nonempty parts.at n=7A294202
• Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a primorial number (A002110).at n=40A353980
• a(n) = Sum_{k=0..floor(n/3)} (n-2*k)!/(n-3*k)!.at n=19A357532
• a(n) = Sum_{k=0..floor(n/4)} (-1)^k * (n-3*k)!/(n-4*k)!.at n=28A358605
• Number of 3 X 3 matrices with unit determinant and nonnegative integer entries whose sum is n.at n=21A361083
• Number of free polyaboloes without any two triangles sharing a hypotenuse.at n=22A390885