45024

Appears in sequences

• Expansion of Product_{m >= 1} (1-m*q^m)^14.at n=11A022674
• Number of ways of getting (at least) 5 of a kind, a straight flush, flush, 4 of a kind, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with deuces wild.at n=4A057802
• Number of essentially different ways in which the squares 1,4,9,...,n^2 can be arranged in a sequence such that all pairs of adjacent squares sum to a prime number. Rotations and reversals are counted only once.at n=17A073451
• Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases.at n=10A207045
• Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum.at n=42A212534
• Number of nX2 0..2 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=10A222667
• Numbers k such that nonprime(k) divides k^2.at n=21A226011
• Triangle of numbers where T(n,k) is the number of k-dimensional faces on a partially truncated n-cube, 0 <= k <= n.at n=50A271316
• a(n) = 81*n^2 - 69*n + 24.at n=24A304616
• Number of polygons formed when connecting all 4n points on the perimeter of an n X n square by infinite lines.at n=8A345459