33736

Appears in sequences

• Sum of next n primes.at n=21A007468
• Numbers n such that n and 2^n end with the same three digits.at n=33A067866
• Number of distinct ways of arranging the squares {1,4,9,...,(2n)^2} in a circle so that the sum of each two adjacent entries is a prime.at n=10A072129
• 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, 0, 1), (1, -1, 1), (1, 0, -1), (1, 1, 1)}.at n=9A149444
• Number of ways to place zero or more nonadjacent 0,0 1,0 2,1 3,2 3,3 4,2 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=8A155425
• Number of arrays of n+2 integers in -5..5 with sum zero and adjacent elements differing in absolute value.at n=3A202959
• T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and adjacent elements differing in absolute value.at n=31A202962
• Number of arrays of 6 integers in -n..n with sum zero and adjacent elements differing in absolute value.at n=4A202966
• Numbers m such that m - 3 divides m^m + 3.at n=21A252041
• Numbers n such that n^k is zeroless for k=0,...,6.at n=28A253647
• Number of length 4 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7.at n=16A258635
• Number of (n+2) X (5+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3.at n=19A258963
• G.f. satisfies A(x) = exp( Sum_{k>=1} (4 + A(x^k)) * x^k/k ).at n=7A363508
• a(n) = A276086(n)*A276086(sigma(n)-n) - A276086(sigma(n)), where A276086 is the primorial base exp-function, and sigma is the sum of divisors function.at n=15A388281