18494

Appears in sequences

• Theta series of D_7 lattice.at n=8A008429
• Number of ways of writing n as a sum of 7 squares.at n=16A008451
• a(n) = least number not of form [ (a^2/n) ] + [ (b^2)/n ].at n=31A036575
• a(n) = a(1) + a(2) + ... + a(n-1) - a(m), where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 2.at n=16A049889
• Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(1,0)=2, a(n,0)=A006318(n), a(n,n)=A006319(n), a(n+1,0)=a(n,0)+a(n,n), a(n,m+1)= Sum A006318(k)*a(n-k,0), k=0..m.at n=32A073150
• Convolution of sigma(n) with phi(n).at n=45A086733
• Row sums of triangle A101224, which is related to the Flavius sieve (A000960).at n=27A101105
• Numbers k such that absolute value of 9^k - k^9 is prime.at n=4A128449
• Row sums of triangle A129503.at n=36A129504
• Number of partitions of n in which any two parts differ by at most 8.at n=42A218510
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 555", based on the 5-celled von Neumann neighborhood.at n=25A272922
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n), where a(0) = 2, a(1) = 3, b(0) = 1, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=14A296296
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = [x^(n^2)] theta_3(x)^k, where theta_3() is the Jacobi theta function.at n=70A302996
• Sum of the smallest parts in the partitions of n into 8 parts.at n=50A308990
• Expansion of (-1 + Product_{k>=1} 1 / (1 + (-x)^k))^6.at n=18A341245
• Number of ways of writing n^2 as a sum of seven squares.at n=4A361695