28703

Properties

Appears in sequences

• a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,2,1,1.at n=11A025270
• Number of partitions of n into parts not of the form 25k, 25k+6 or 25k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=40A036005
• G.f. satisfies A(x) = 1 + x*cycle_index(Cyclic(4), A(x)).at n=11A036719
• If a,b are prime numbers satisfying the Diophantine equation a^3+b^3=c^2, then a is -1 mod 12 and b is 1 mod 12, or vice versa. Choose 'a' to be -1 mod 12. This is the sequence of 'a' values, sorted by the magnitude of c.at n=2A099806
• Values of q in A145767.at n=3A145798
• Primes p such that (p-a)*(p+a)-+a*p and (p-b)*(p+b)-+b*p are primes, a=2,b=3.at n=3A155010
• Primes p such that 3*p+2, 5*p+4 and 7*p+6 are also prime.at n=29A173876
• a(2)=4; thereafter a(n) = smallest number m such that a(n-1)+m = (a(n-1) followed by the leading digit of m).at n=4A224755
• a(n) = n-th smallest prime congruent to 1 modulo prime(n).at n=29A234387
• Primes p such that p+8, p+86, p+864 are prime.at n=23A236302
• Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is not a part.at n=44A241444
• Integers k such that (2^k + 1) + (3^k + 1) + (5^k + 1) is prime.at n=18A268064
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 246", based on the 5-celled von Neumann neighborhood.at n=15A280332
• Number of nonequivalent ways to place 2n nonattacking kings on a 4 X 2n chessboard under all symmetry operations of the rectangle.at n=7A321614
• Prime numbersat n=3127