19992

Appears in sequences

• sinh(arctanh(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+358/6!*x^6+19992/8!*x^8...at n=3A012724
• Convolution of (1, p(1), p(2), ...) and composite numbers.at n=27A023627
• Second elementary symmetric function of 3,4,...,n+3.at n=16A024183
• Catafusenes (see reference for precise definition).at n=8A045829
• Number of positive integers <= 2^n of form x^2 + 11 y^2.at n=17A054226
• Triangular array related to Motzkin triangle A026300.at n=41A084536
• a(n) = k where R(k+8) = 2.at n=3A086948
• Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps).at n=39A091965
• Numbers that can be expressed as the difference of the squares of primes in exactly six distinct ways.at n=16A092002
• a(n) = (n+1)*(n+2)^2*(n+3)^2*(n+4)*(2*n^2 + 6*n + 5)/720.at n=5A108645
• Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=37A117313
• 12n+7^n+5^n.at n=5A121199
• A triangle of recursive Fibonacci Lah numbers: f(n) = Fibonacci(n)*f(n - 1), L(n, k) = binomial(n-1, k-1)*(f(n)/f(k)).at n=42A137478
• a(n) = n*(n-1)*(n+1)*(3*n-2)/12.at n=16A153978
• Number of (n+1) X 4 binary arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace.at n=4A185763
• Number of (n+1)X6 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace.at n=2A185765
• T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace.at n=23A185769
• T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace.at n=25A185769
• Triangle of coefficients of polynomials u(n,x) jointly generated with A209768; see the Formula section.at n=50A209767
• Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -2<=w+x+y<=2.at n=37A211616