-289

Appears in sequences

• Expansion of sin(log(1+x))*exp(x).at n=7A009457
• Expansion of 1/(1+2*x^2+x^3).at n=15A077967
• Expansion of 1/(1+x+x^2-2*x^3).at n=13A077975
• First order recursion: a(0) = 1; a(n) = phi(n) - a(n-1) = A000010(n) - a(n-1).at n=54A083239
• Alternating partial sums of A000217.at n=33A083392
• Expansion of q * chi(-q) / chi(-q^5)^5 in powers of q where chi() is a Ramanujan theta function.at n=31A095813
• Triangular matrix, read by rows, where row k is formed from the first differences of row (k-1) of its matrix square, with an appended '1' for the main diagonal.at n=22A102225
• Column 1 of triangular matrix A102225, in which row k is formed from the first differences of row (k-1) of its matrix square (A102228).at n=6A102227
• G.f. A(x) satisfies: A(x)^4 = A(x^2)^2 + 4*x.at n=8A107086
• Floor of expansion (1+e*x)^Pi.at n=17A109272
• Numerator of rational part of raw moment n of the line point picking problem.at n=6A115388
• Expansion of f(-q)^2*P(q) in powers of q.at n=24A122163
• Expansion of f(q, q^3)^2 / (f(q, q^4) * f(q^2, q^3)) in powers of q where f(, ) is the Ramanujan general theta function.at n=32A138522
• First differences of A142705.at n=19A142888
• Convolution of A006352 and A010815.at n=12A143278
• a(n) = 3/8 + (3/8)*(-1)^n + ((n+1)/4)*(-1)^(n+1) + ((n+2)*(n+1)/4)*(-1)^(n+2).at n=33A152032
• Perfect powers (m^k where m is an integer and k >= 2) multiplied by -1 when m is prime for largest k (m^k thus a prime power).at n=23A157985
• Expansion of (1 - 2*x^3 - x^4 - x^5 + x^6 + x^7 - x^8)/(1 - x^3)^3.at n=53A158613
• Numerator of Hermite(n, 7/26).at n=2A160072
• a(0) = -1 and a(n) = (-1)^(n+1)*(3*n^2 - n + 4)/2 for n >= 1.at n=14A173247