68096

Appears in sequences

• E.g.f.: cos(tanh(x)+arctan(x))=1-4/2!*x^2+48/4!*x^4-1344/6!*x^6+68096/8!*x^8...at n=4A013145
• exp(arctanh(x)+tan(x))=1+2*x+4/2!*x^2+12/3!*x^3+48/4!*x^4+232/5!*x^5...at n=8A013172
• Expansion of ((1-x)/(1-2*x))^3.at n=12A058396
• a(n) = 2^(n-3)*(n + 3)*(2*n - 3).at n=8A059224
• Numbers of isomers of unbranched a-4-catapolypentagons - see Brunvoll reference for precise definition.at n=11A121135
• Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=3, k=0 and l=-2.at n=9A176755
• Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.at n=7A252160
• T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.at n=28A252167
• T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.at n=35A252167
• Integers that are Rhonda numbers to base 18.at n=20A255735
• Cyclops numbers with circular digits {0,6,8,9}.at n=25A274765
• Number of set partitions of [n] such that the difference between each element and its index (in the partition) is a multiple of six.at n=17A274863
• Maximum number of induced copies of the claw graph K_{1,3} in an n-node graph.at n=43A352666
• Expansion of e.g.f. exp(-2*x) / (1 + 2*log(1 - x)).at n=6A368287