-620

Appears in sequences

• Matrix inverse of Euler's triangle A008292.at n=11A055325
• Image of Euler totient function (A000010) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=44A056228
• McKay-Thompson series of class 10C for Monster.at n=27A058099
• McKay-Thompson series of class 15D for the Monster group.at n=57A058511
• Expansion of Gaussian product of arithmetic mean and Lehmer mean evaluated at 1 + 4*x.at n=9A078801
• Inverse binomial transform of number triangle A105632.at n=58A105847
• Matrix inverse of triangle A121336, where A121336(n,k) = C( n*(n+1)/2 + n-k + 2, n-k) for n>=k>=0.at n=32A121441
• Irregular triangle, read by rows: T(n, k) = [x^k]( y(n, x) ), where y(n, x) = - 2*y(3, x) - x*y(n-1, x) + 2*x^2*y(n-1, x) + x^2*y(n-2, x), and y(1, x) = -8 - 3*x + 8*x^2, y(2, x) = 4 - 4*x - 10*x^2 + 4*x^3 + 4*x^4, y(3, x) = -8 + 4*x + 24*x^2 - 9*x^3 - 24*x^4 + 4*x^5 + 8*x^6.at n=72A131641
• Expansion of (eta(q) * eta(q^2) / (eta(q^5) * eta(q^10)))^2 in powers of q.at n=27A132041
• Expansion of q * chi(-q^3) * chi(-q^5) / ( chi(-q^2) * chi(-q^30) ) in powers of q where chi() is a Ramanujan theta function.at n=49A132967
• a(0) = 121; for n>0, a(n) = a(n-1) - n + 1.at n=39A137517
• Expansion of chi(-x)^2 * chi(-x^2) in powers of x where chi() is a Ramanujan theta function.at n=61A143161
• Partial sums of A000594.at n=11A144248
• Result of using the primes as coefficients in an infinite polynomial series in x and then expressing this series as (1+a(1)x)(1+a(2)x^2)(1+a(3)x^3)...at n=12A147557
• Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1+x-x^2)^(n+1)*Sum_{j >= 0} (j+1)^n*(-x + x^2)^j.at n=46A156890
• Diagonal sums of number triangle A185962.at n=32A185964
• Sequence of coefficients arising in study of generating function for A067619.at n=33A186545
• Sum of all parts of all partitions of n into an even number of parts minus the sum of all parts of all partitions of n into an odd number of parts.at n=30A235324
• T(n, k) = 2^A050605(n) * n! * [x^k] [z^n] (4*exp(x*z))/(exp(z) + 1)^2, triangle read by rows, for 0 <= k <= n.at n=56A326485
• Triangle read by rows: coefficients of expansion of certain weighted sums P_1(n,k) of Fibonacci numbers as a sum of powers.at n=24A341723