30816

Appears in sequences

• Number of 5-card poker hands with deuces wild of 5-of-a-kind, royal flush, straight flush, 4-of-a-kind, full house, flush, straight, 3-of-a-kind, two pairs, one pair, no pair.at n=3A057695
• Denominators of continued fraction convergents to sinh(1).at n=11A078981
• Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 4*T(n-1, k-1) + 2*T(n-1, k).at n=39A119726
• Square array, read by antidiagonals, used to recursively calculate A080635.at n=37A185416
• Number of Dyck paths of semilength n having exactly 5 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).at n=6A243875
• Number of length n+6 0..2 arrays with at most two downsteps in every 6 consecutive neighbor pairs.at n=3A255620
• T(n,k)=Number of length n+k 0..2 arrays with at most two downsteps in every k consecutive neighbor pairs.at n=39A255622
• Number of length n+4 0..2 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=5A255626
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 515", based on the 5-celled von Neumann neighborhood.at n=31A272707
• Expansion of (eta(q^6)/(eta(q)*eta(q^2)*eta(q^3)))^2 in powers of q.at n=15A293378
• Expansion of Product_{k>=2} 1/(1 - x^k)^omega(k), where omega(k) is the number of distinct primes dividing k (A001221).at n=44A293548
• Consider all 3 X 3 matrices M whose entries are the n-th to (n+8)-th primes prime(n), ..., prime(n+8), in any order. a(n) is the sum of the number of M such that det(M) is divisible by prime(n+i), for i from 0 to 8.at n=25A339105
• Number of regions among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter.at n=5A362234