45408

Appears in sequences

• Theta series of lattice Kappa_9.at n=11A015233
• Odd power perfect numbers: numbers k such that opsigma(k) = 2*k, where opsigma(k) = A033634(k).at n=2A033289
• Structured rhombic triacontahedral numbers (vertex structure 11).at n=17A100164
• Number of n-bead necklaces labeled with numbers -3..3 not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.at n=7A209068
• T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2.at n=52A209073
• Partial sums of A140091.at n=43A267370
• Start with the hexagonal tile of the Shield tiling and recursively apply the substitution rule. a(n) is the number of hexagonal tiles after n iterations.at n=9A298678
• a(n) = [x^n] 1 + x*(1 + x^2*(1 + x^3*(1 + x^4*(1 + x^5*(1 + ...)^n)^n)^n)^n)^n.at n=12A302693
• Number of partitions of n into at most 1^2 copy of 1, 2^2 copies of 2, 3^2 copies of 3, ... .at n=50A303944
• Numbers k such that sopfr(k + sopfr(k)) = sopfr(k) + sopfr(sopfr(k)), where sopfr = A001414.at n=44A376851