-417

Appears in sequences

• a(n) = (a(n-1)a(n-5) + a(n-2)a(n-4) + a(n-3)^2)/a(n-6).at n=46A058232
• Coefficient array for certain polynomials N(3; k,x) (rising powers of x).at n=12A062746
• Determinant of the n X n matrix whose element (i,j) equals the floor( Phi^(i-j) + 1).at n=31A071784
• Reflected (see A074058) pentanacci numbers A074048.at n=26A074062
• First order recursion: a(0) = 1; a(n) = phi(n) - a(n-1) = A000010(n) - a(n-1).at n=66A083239
• Lower triangular matrix T, read by rows, such that the row sums of T^n form the (3n)-dimensional partition numbers.at n=72A096653
• a(n)=5a(n-1)-11a(n-2)+13a(n-3)-9a(n-4)+3a(n-5)-a(n-6).at n=13A140342
• Expansion of eta(q) * eta(q^9) * eta(q^21)^2 / (eta(q^3)^2 * eta(q^7) * eta(q^63)) in powers of q.at n=43A226059
• G.f.: Im((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=50A292043
• Inverse binomial transform of the number of overpartitions (A015128).at n=14A294499
• Expansion of Product_{k>=1} 1/(1 - mu(k)*x^k), where mu() is the Möbius function (A008683).at n=61A306327
• Expansion of Product_{i>0, j>0, k>0} (1 - x^(i^2 + j^2 + k^2)).at n=49A321432
• G.f. A(x) satisfies: A(x) = x + x^2 / exp(A(x) + A(x^2)/2 + A(x^3)/3 + A(x^4)/4 + ...).at n=19A345232
• a(n) = Sum_{k=1..n} (-1)^(n-k) * k * mu(k)^2, where mu(k) is the Moebius function.at n=59A362029
• Expansion of Sum_{k>0} x^(3*k)/(1+x^k)^3.at n=27A363615
• Shifts left one place under the inverse modulo 2 binomial transform.at n=63A380652