42528

Appears in sequences

• Expansion of theta_3 / theta_4.at n=22A007096
• Expansion of (theta_3(q) / theta_4(q))^2 in powers of q.at n=11A014969
• McKay-Thompson series of class 32A for Monster.at n=45A058629
• a(n) = (n^5 - 5*n^4 + 5*n^3 + 5*n^2 + 114*n + 120)/120.at n=23A161701
• Number of 3-step one or two space at a time rook's tours on an n X n board summed over all starting positions.at n=28A187288
• Expansion of theta_4/theta_3 in powers of q.at n=22A189925
• Expansion of phi(q^2)^2 / (phi(-q) * phi(q^4)) in powers of q where phi() is a Ramanujan theta function.at n=22A212318
• Expansion of phi(q^2)^2 / (phi(q) * phi(q^4)) in powers of q where phi() is a Ramanujan theta function.at n=22A232358
• Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7.at n=11A252110
• Indices where A092243 strictly changes sign.at n=28A269737
• Triangle read by rows, T(n,k) = Sum_{j=0..n} (-1)^(n-j)*C(-j-1,-n-1)*S1(k,j), S1 the Stirling cycle numbers A132393, for n>=0 and 0<=k<=n.at n=51A271700
• Numbers that are the sum of fourth powers of three distinct positive integers in arithmetic progression.at n=33A306214
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A385059.at n=41A385062