19894

Appears in sequences

• A nonlinear recurrence.at n=41A003073
• a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=28A003143
• arcsin(arcsinh(x)+sin(x))=2*x+6/3!*x^3+218/5!*x^5+19894/7!*x^7...at n=3A013083
• a(n) = 49*(n-1)*(n-2)/2.at n=27A027469
• Numbers whose concatenation of prime factors (with multiplicity) is a square.at n=39A038693
• Numbers having four 6's in base 8.at n=4A043448
• Numbers k such that k | 10^k + 9^k + 8^k + 7^k.at n=30A057214
• Number of permutations of length 2n satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..2n, with k=3, r=3, I={-2,0,1,2}. There is no one such permutation of length 2n+1.at n=17A079980
• Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-2,0,1,2}.at n=34A079981
• Apply partial sum operator 5 times to partition numbers.at n=12A120477
• a(3n) = floor(43*2^n/28) - 1, a(3n+1) = a(3n) + 3*2^(n-3), a(3n+2) = floor(17*2^n/7 - 6/7) for n>=3.at n=41A123946
• a(n) = n*(n+1)*(5*n+7)/6.at n=28A162148
• a(n) = binomial(n+1,2)*7^2.at n=28A162942
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (f(i,j)), where f(i,1)=f(1,j)=1, f(i,i)= i; f(i,j)=0 otherwise; as in A204179.at n=39A204180
• Number of primes of the form (x+1)^11 - x^11 less than 10^n.at n=50A221983
• Number of partitions of n such that (number of distinct parts) = multiplicity of the least part.at n=52A239962
• Numbers n such that 2*n + prime(n) is a square.at n=39A256246
• Even 14-gonal (or tetradecagonal) numbers.at n=29A270704
• a(n) = Sum_{k=0..floor(n/3)} binomial(3*k,3*(n-3*k)).at n=22A391904