29975

Appears in sequences

• a(n) = least k such that either 6*k*M(n)-1 or 6*k*M(n)+1 or both is prime, where M(i)= i-th Mersenne prime.at n=28A145983
• 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, -1, 0), (-1, 1, 0), (1, 0, 1), (1, 1, 0)}.at n=8A150385
• Coefficient of x in the reduction of the polynomial x(x+1)(x+2)...(x+n-1) by x^2 -> x+1.at n=7A192239
• Constant term of the reduction by x^2 -> x + 1 of the polynomial p(n,x) = Product_{k=1..n} (x+k).at n=7A192936
• Number of series-reduced rooted identity trees whose leaves are integer partitions whose multiset union is an integer partition of n.at n=10A320171
• Number of non-isomorphic multiset partitions of weight n whose incidence matrix has all distinct entries.at n=32A321662
• a(n) = (n^3+5*n+3)/3 + 2*floor(n/2) + a(n-2), with a(0)=1 and a(1)=3.at n=28A336529
• Integers x such that there exist four integers 0<y<=z<=t<=w such that sigma(x)^5 = x^5 + y^5 + z^5 + t^5 + w^5.at n=7A386672
• Numbers m such that Stern polynomial B(m,x) has no irreducible polynomial factors that themselves are Stern polynomials. The initial a(1) = 1 is included by convention.at n=40A389918