Sequences

[ exp(1/8)*n! ].

[ exp(6/7)*n! ].

a(n) = floor( exp(5/7)*n! ).

[ exp(4/7)*n! ].

[ exp(3/7)*n! ].

[ exp(2/7)*n! ].

[ exp(1/7)*n! ].

[ exp(5/6)*n! ].

[ exp(1/6)*n! ].

[ exp(4/5)*n! ].

[ exp(3/5)*n! ].

[ exp(2/5)*n! ].

[ exp(1/5)*n! ].

[ exp(3/4)*n! ].

[ exp(1/4)*n! ].

a(n) = floor(exp(2/3)*n!).

a(n) = floor(exp(1/3)*n!).

Maximal number of non-attacking knights on an n X n board.

Numbers k such that binomial(2k,k) is not divisible by 3, 5 or 7.

Number of planted noncrossing bushes with n nodes; i.e., rooted noncrossing trees with n nodes, root degree 1 and no nonroot nodes of degree 1.

Number of noncrossing bushes with n nodes; i.e., rooted noncrossing trees with n nodes and no nonroot nodes of degree 1.

Number of noncrossing nonplanted bushes with n nodes, i.e., rooted noncrossing trees with n nodes and no nodes of degree 1.

Number of rooted noncrossing trees with n nodes such that root has degree 1 and the child of the root has degree at least 2.

2-automorphic numbers: final digits of 2*n^2 agree with n.

3-automorphic numbers ending in 2: final digits of 3*n^2 agree with n.

3-automorphic numbers ending in 5: final digits of 3*n^2 agree with n.

4-automorphic numbers: final digits of 4*n^2 agree with n.

5-automorphic numbers: final digits of 5n^2 agree with n.

6-automorphic numbers: final digits of 6n^2 agree with n.

7-automorphic numbers ending in 3: final digits of 7n^2 agree with n.

7-automorphic numbers ending in 5: final digits of 7n^2 agree with n.

7-automorphic numbers ending in 8: final digits of 7n^2 agree with n.

8-automorphic numbers: final digits of 8*n^2 agree with n.

9-automorphic numbers ending in 4: final digits of 9*n^2 agree with n.

9-automorphic numbers ending in 5: final digits of 9*n^2 agree with n.

Concatenation of n consecutive primes starting with the prime a(n) is a prime.

Smallest prime which is a concatenation of n consecutive primes.

Write n in base 7 and juxtapose.

Position of n-th 0 in A030998.

Position of n-th 1 in A030998.

Position of n-th 2 in A030998.

Position of n-th 3 in A030998.

Position of n-th 4 in A030998.

Position of n-th 5 in A030998.

Position of n-th 6 in A030998.

a(n)=least k such that base 7 representation of n begins at s(k), where s=A030998.

Triangle T(n,k): Write n in base 7, reverse order of digits, to get row n.

Position of n-th 0 in A031007.

Position of n-th 1 in A031007.

Position of n-th 2 in A031007.