-676

Appears in sequences

• Numerator of [x^(2n)] of the Taylor series cos(cot(x)-coth(x))= 1 -2*x^2/9 +2*x^4/243 -676*x^6/229635 +62*x^8/295245 -...at n=3A013556
• McKay-Thompson series of class 30G for the Monster group.at n=45A058618
• Alternating partial sums of A000217.at n=51A083392
• Alternating sum of diagonals in A060177.at n=42A104575
• a(n) = prime(n+3)*prime(n) - prime(n+1)*prime(n+2).at n=33A117301
• Table, read by rows, of coefficients of characteristic polynomials of almost prime matrices.at n=15A131175
• Expansion of q^(-1) * chi(-q)^2 * chi(-q^15)^2 / (chi(-q^3) * chi(-q^5)) in powers of q where chi() is a Ramanujan theta function.at n=45A133098
• McKay-Thompson series of class 30G for the Monster group with a(0) = -1.at n=45A135213
• Expansion of q * chi(q^3) * chi(q^5) / (chi(q) * chi(q^15))^2 in powers of q where chi() is a Ramanujan theta function.at n=21A145786
• First differences of A154570.at n=12A156591
• a(n) = -(-1)^n * n^2.at n=25A162395
• a(n) = Pell(n)*A113973(n) for n>=1, with a(0)=1, where A113973 lists the coefficients in phi(x^3)^3/phi(x) and phi() is a Ramanujan theta function.at n=7A209449
• Govindarajan's triangle beta arising in enumeration of multi-dimensional partitions, read by rows.at n=12A216808
• Triangle T(n, k) = T(n, k-1) + (-1)^k*A142458(n+2, k+1) if k <= floor(n/2), otherwise T(n, n-k), with T(n, 0) = T(n, n) = 1, read by rows.at n=11A225433
• Triangle T(n, k) = T(n, k-1) + (-1)^k*A142458(n+2, k+1) if k <= floor(n/2), otherwise T(n, n-k), with T(n, 0) = T(n, n) = 1, read by rows.at n=13A225433
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 286", based on the 5-celled von Neumann neighborhood.at n=48A271124
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 302", based on the 5-celled von Neumann neighborhood.at n=35A271159
• a(n) = Sum_{d|n} mu(d) * binomial(d+n/d-1, d).at n=39A338657
• a(n) = -(1/n) * Sum_{d|n} phi(n/d) * (-4)^d.at n=5A343466
• a(1) = 1, a(2) = -5; a(n) = -n^2 * Sum_{d|n, d < n} a(d) / d^2.at n=51A359485