-188

Appears in sequences

• Bond percolation series for hexagonal net.at n=5A006735
• McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=18A007258
• McKay-Thompson series of class 6E for the Monster group with a(0) = 1.at n=18A045488
• Expansion of Product_{k > 0} 1/(1 + x^prime(k)).at n=61A048165
• McKay-Thompson series of class 42B for Monster.at n=49A058672
• a(n) is the coefficient of x^n in x/(1 + Sum_{k>=1} (1/2)*(prime(k+1) - 1)*x^k).at n=27A074142
• Expansion of x*(1-x)/((1-2*x)*(1+3*x)).at n=6A091004
• Expansion of (1+x)^3/((1+x)^3+x^4).at n=13A099531
• McKay-Thompson series of class 6E for the Monster group with a(0) = 3.at n=18A105559
• Expansion of g.f. (1+x)^2/((1 + x + x^2)*(1 + x - x^2)).at n=15A106511
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0<r<=n. e.g. the row corresponding to 4 contains 4, (3+2),{(1) +(0)+(-1)}, {(-2)+(-3)+(-4)+(-5)} ----> 4,5,0,-14 1 2 1 3 3 -3 4 5 0 -14 5 7 3 -10 -35 6 9 6 -6 -30 -69 ... Sequence contains the array by rows.at n=35A110425
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0 < r <= n. Sequence contains the leading diagonal.at n=7A110427
• McKay-Thompson series of class 12B for the Monster group.at n=18A112148
• Y = X = 'i + .25(ii + jj + kk + e); Z = 'i - i' + .5(jj + kk - jk + kj) + e. See pdf-file and comment for an exact definition (this sequence gives an initial term 3); Version "les".at n=47A119954
• McKay-Thompson series of class 6E for the Monster group with a(0) = -5.at n=18A128632
• McKay-Thompson series of class 6E for the Monster group with a(0) = 4.at n=18A128633
• Expansion of (phi(x) * psi(-x))^4 in powers of x where phi(), psi() are Ramanujan theta functions.at n=33A134461
• a(n) = a(n-2) - (a(n-1) - a(n-2)) if (n mod 2) = 0, otherwise a(n) = a(n-1) - (a(n-3) - a(n-4)), with a(0) = 0, a(1) = 1, a(2) = -1, a(3) = 2.at n=25A135690
• Expansion of a(q) * f(-q)^4 where f() is a Ramanujan theta function and a() is a cubic AGM function.at n=57A152243
• Inverse of Fibonacci convolution array A154929.at n=15A154930