32940

Appears in sequences

• Expansion of e.g.f.: sech(log(x+1)-arcsin(x)).at n=9A013233
• Partitions encoded by interleaving bits in parts. The partition [P1+P2+P3+...] with P1>=P2>=P3>=... is encoded in binary by recursively interleaving the bits of P1 with the (recursively interleaved bits of P2 with the (recursively...)).at n=42A059902
• Engel expansion of sinh(1/3).at n=30A068380
• Let u(1)=u(2)=1, u(3)=2n, u(k) = abs(u(k-1)-u(k-2)-u(k-3)) and M(k) = Max_{i<=i<=k} u(i), then for any k >= A078109(n), M(k) = floor(sqrt(k + a(n))).at n=26A078108
• Sum of n-th antidiagonal of A082191.at n=37A082195
• a(n) = floor((1/16)*(16 + 2^n - 8*n + 8*n^2)).at n=19A130840
• Square array A(n,k), n>=1, k>=1, read by antidiagonals: A(n,k) is the number of n-colorings of the rhombic hexagonal square grid graph RH_(k,k).at n=25A212163
• Square array A(n,k), n>=1, k>=1, read by antidiagonals: A(n,k) is the number of n-colorings of the staggered hexagonal square grid graph SH_(k,k).at n=25A212195
• Averages y of twin prime pairs that satisfy y = x^2 + x - 2.at n=14A214840
• Pell numbers (A000129) minus Lucas numbers beginning at 2 (A000032).at n=13A228748
• Expansion of psi(-x^3) / f(-x) in powers of x where psi(), f() are Ramanujan theta functions.at n=48A271593
• Two-column table read by rows: Primitive distinct pairs that have the same value of phi, sigma, and tau.at n=42A322688
• Exponential (2,4)-perfect numbers: numbers m such that esigma(esigma(m)) = 4m, where esigma(m) is the sum of exponential divisors of m (A051377).at n=15A328133
• Numbers k such that lambda(k) = lambda(k+2), where lambda is the Carmichael lambda function (A002322).at n=34A333742
• Numbers which are the sum of a prime and the square of the next prime.at n=40A349660
• a(n) = number of partitions p of n such that the greatest multiplicity of the parts of p is not a part of p.at n=42A365616