20772

Appears in sequences

• Theta series of lattice Kappa_8.at n=12A015235
• Denominators of continued fraction convergents to sqrt(936).at n=10A042811
• A triangle related to rooted trees.at n=16A060694
• a(n) = n^3+n for odd n, (n^3+n)*3/2 for even n: Row sums of A093915.at n=23A093917
• Averages of twin primes of the form : i^2+j^2, as sum of two squares.at n=37A143793
• 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, 0), (-1, 0, 1), (0, 1, 1), (1, -1, -1), (1, 0, -1)}.at n=9A148869
• a(n) = 16n^2 + n.at n=35A157474
• a(n) = 64*n^2 + 2*n.at n=18A158070
• a(n) = 1296*n^2 + 36.at n=4A158739
• Number T(n,k) of permutations of [n] with exactly k occurrences of the consecutive step pattern up, down, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/3)), read by rows.at n=14A242819
• Number of permutations of [n] with exactly one occurrence of the consecutive step pattern up, down, down.at n=4A246246
• Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n^2-1, in order of increasing m.at n=33A256406
• Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n^2-1, in increasing order.at n=36A256407
• Average of twin prime pairs that is a product of two averages of twin prime pairs.at n=37A307758
• Averages k of twin primes such that the sum (with multiplicity) of prime factors of k-1, k and k+1 is prime.at n=41A340060
• Numbers that are the sum of eight fourth powers in exactly eight ways.at n=27A345840
• Number of minimal total dominating sets in the n-double cone graph.at n=15A362812
• Number of polycubes with 8*n cells, full symmetry, and the rotation point of the symmetries at the common corner of 8 cells (that may or may not be part of the polycube).at n=30A377335
• Numbers k such that A003415(k) == A276085(k) (mod 2310), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.at n=20A391864
• Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + Sum_{j=0..k} A(n-1,j)*A(k-j,0) with A(0,k) = 1.at n=33A392095