137280

Appears in sequences

• sin(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...at n=5A013370
• arcsinh(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11...at n=6A013374
• 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=3A014356
• 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=7A014357
• 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=6A014404
• There are exactly n integer-sided triangles of area a(n).at n=27A051586
• 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=7A053080
• 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=3A053081
• 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=3A053082
• 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=6A057799
• 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=6A057807
• a(n) = lcm(3n+1, 3n+2, 3n+3).at n=21A061495
• Triangle read by rows: T(n,k) = binomial(3k,k)*binomial(n+k,3k)/(2k+1) (0 <= k <= floor(n/2)).at n=52A108759
• Denominator of z-sequence for Sheffer triangle A060081.at n=63A176729
• Least number k such that k^2 + k^3 is of the form x^2 + y^3 in exactly n ways where x, y > 0.at n=8A273788
• Triangle where g.f. C = C(x,m) and related series S = S(x,m) and D = D(x,m) satisfy S = x*C*D, C = 1 + x*S*D, and D = 1 + m*x*S*C, as read by rows of coefficients T(n,k) of x^(2*n)*m^k in C(x,m) for n>=0, k=0..n.at n=58A278881
• Triangle where g.f. D = D(x,m) and related series S = S(x,m) and C = C(x,m) satisfy S = x*C*D, C = 1 + x*S*D, and D = 1 + m*x*S*C, as read by rows of coefficients T(n,k) of x^(2*n)*m^k in C(x,m) for n>=1, k=0..n.at n=62A278882
• a(n) = 2n*(n+1)*(2n+1).at n=32A300758
• Unitary deficient-perfect numbers: unitary deficient numbers k such that 2*k-usigma(k) is a unitary divisor of k, where usigma is the sum of unitary divisors of k (A034448).at n=9A303356
• a(n) = 288*n^2 - 96*n (n>=1).at n=21A305073