59629
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- [ exp(9/23)*n! ].at n=7A030820
- a(n)=a(n-1)+a(n-2)-d, where d=a(n/3) if 3 divides n, else d=0; 2 initial terms.at n=25A050193
- Binomial transform of A054341 and inverse binomial transform of A049027.at n=9A059738
- Triangle T(n,k), 0 <= k <= n, read by rows given by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = 3*T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-1) + T(n-1,k) + T(n-1,k+1) for k >= 1.at n=45A126954
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (1, -1, 0), (1, 0, 1), (1, 1, -1)}.at n=10A148837
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738.at n=45A171505
- T(n,m)=Number of (n+1)X4 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=28A188058
- Primes p such that p^4-p^3+1 and p^4-p^3-1 are also primes.at n=27A238136
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 219", based on the 5-celled von Neumann neighborhood.at n=7A270931
- a(n) is the least prime p that starts a run of 2n+1 consecutive primes whose product is a sum of the same number of (others or same) consecutive primes.at n=7A352065
- Prime numbers followed by two consecutive numbers which are products of four distinct primes (or tetraprimes).at n=17A362578
- Square array read by antidiagonals, where the top row is the powers of 2 (A000079) and the other numbers are the sum of the neighbors in the preceding row.at n=54A375723
- Greater of twin self primes, i.e., larger member of the pair of self primes differing by 2.at n=8A380715
- Prime numbersat n=6028