19396

Appears in sequences

• Let f(k) = exp(Pi*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10^3.at n=31A127022
• Numerators of the convergents of the continued fraction for sqrt(sqrt(2) - 1), the radius vector of the point of bisection of the arc of the unit lemniscate (x^2 + y^2)^2 = x^2 - y^2 in the first quadrant.at n=15A154749
• a(n) = 4394*n + 1820.at n=4A156636
• Volume of right circular cone (rounded down) with the diameter of base and height equal to n.at n=41A228189
• Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11.at n=3A233786
• Number of (n+1)X(4+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11.at n=1A233788
• T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)).at n=11A233792
• T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)).at n=13A233792
• G.f.: (1 + 5*x + 5*x^2 + x^3)/Product_{i=1..10} (1 - x^i).at n=27A256977
• Relative of Hofstadter Q-sequence: a(n) = max(0, n+19395) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0.at n=1A283886
• Numbers m > 0 that have a divisor d > 1 with binomial(m+d, d) == 1 mod m.at n=34A290040
• Sequence a(n) = 3*A002559(n) - 2 determining the principal reduced indefinite binary quadratic form [1, a(n), -a(n)] for Markoff triples.at n=18A324250
• Sum of the second largest parts of the partitions of n into 10 squarefree parts.at n=49A326636
• Sum over all partitions of n of the GCD of the number of parts and the number of distinct parts.at n=33A339312
• T(n,k) is the number of connected posets of n unlabeled elements with k covering relations (n>=1, k>=0). Triangle read by rows.at n=67A342590
• Number of partitions of the faces of the n-th Johnson solid into 2 connected subsets.at n=21A390001