20532

Appears in sequences

• Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, a royal flush, or 5 of a kind in 5-card poker when joker is wild.at n=4A014356
• Number of ways of getting 5 of a kind, a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.at n=6A014357
• Number of ways of getting 5 of a kind, straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.at n=5A014404
• Number of ways of getting 5 of a kind, royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild.at n=6A053080
• Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, straight flush or 5 of a kind in 5-card poker when joker is wild.at n=4A053081
• Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, royal flush or 5 of a kind in 5-card poker when joker is wild.at n=4A053082
• Number of ways of getting 5 of a kind, a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair in wild-card poker with 1 joker.at n=5A057799
• Number of ways of getting 5 of a kind, a straight flush, 4 of a kind, full house, flush, straight, 2 pair, 3 of a kind, a pair in wild-card poker with 1 joker.at n=5A057801
• Number of ways of getting (at least) 5 of a kind, a straight flush, 4 of a kind, flush, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with 1 joker.at n=5A057807
• Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).at n=48A067345
• Expansion of g.f.: (1-3*x*C)/(1-4*x*C) where C = (1 - sqrt(1-4*x))/(2*x) = g.f. for Catalan numbers A000108.at n=7A076025
• Square array read by ascending antidiagonals in which row n has g.f. C/(1-n*x*C) where C = (1/2-1/2*(1-4*x)^(1/2))/x = g.f. for Catalan numbers A000108.at n=61A076038
• A number triangle based on the Catalan numbers.at n=59A110488
• Riordan array (1/(1-4*x*c(x)),xc(x)), c(x) the g.f. of A000108.at n=29A117380
• First bisection of A164869.at n=29A164877
• Sum of distinct terms of A002674: a(0) = 0, a(2n) = A255411(A153880(a(n))), a(2n+1) = 1+A255411(A153880(a(n))).at n=14A275959
• Numbers that are divisible by the total number of 1's in both the Zeckendorf and the dual Zeckendorf representations of all their divisors (A300837 and A333618).at n=14A333621
• Numbers k such that (in base 10) the k-th composite is a substring of the k-th prime.at n=3A378491