-756

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^9.at n=32A010817
• Expansion of Product_{m>=1} (1-m*q^m)^21.at n=4A022681
• McKay-Thompson series of class 30A for Monster.at n=45A058612
• Ramanujan's function F_7(q).at n=29A064512
• Determinant of rank n matrix of 1..n^2 filled successively along antidiagonals.at n=53A069480
• Square array of coefficients of binomial polynomials, read by antidiagonals.at n=48A080959
• Triangle of diagonals of symmetric Krawtchouk matrices.at n=50A099037
• G.f. satisfies: A(x) = 1/(1 + x*A(x^5)) and also the continued fraction: 1+x*A(x^6) = [1;1/x,1/x^5,1/x^25,1/x^125,...,1/x^(5^(n-1)),...].at n=27A101915
• G.f. satisfies: A(x) = 1/(1 + x*A(x^8)) and also the continued fraction: 1 + x*A(x^9) = [1; 1/x, 1/x^8, 1/x^64, 1/x^512, ..., 1/x^(8^(n-1)), ...].at n=47A101918
• Triangle read by rows: T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n matrix with 2's on the diagonal and 1's elsewhere (n >= 1 and 0 <= k <= n). Row 0 consists of the single term 1.at n=49A103283
• Infinite square array read by antidiagonals: T(m, 0) = 1, T(m, 1) = m; T(m, k) = (m - k + 1) T(m+1, k-1) - (k-1) (m+1) T(m+2, k-2).at n=59A105937
• Binomial transform of Mertens's function sequence A002321.at n=9A106397
• Define an array by d(m, 0) = 1, d(m, 1) = m; d(m, k) = (m - k + 1) d(m+1, k-1) - (k-1) (m+1) d(m+2, k-2). Sequence gives d(n,4).at n=6A126958
• Expansion of ((b(q)*c(q))^3 - 8*(b(q^2)*c(q^2))^3) / 27 in powers of q where b(), c() are cubic AGM theta functions.at n=29A128486
• Array for second (k=2) convolution of Chebyshev's S(n,x)=U(n,x/2) polynomials.at n=47A128503
• Triangle T(n,k) read by rows: inverse of the matrix PE = exp(P)/exp(1) given in A011971.at n=48A129334
• a(2*n) = A000217(n), a(2*n+1) = -2*A000217(n).at n=55A131259
• Expansion of s(q)^4 in powers of q where s() is a cubic AGM function.at n=6A133078
• Triangle, row sums = a signed, shifted version of A000587, the Rao Uppuluri-Carpenter numbers.at n=51A144185
• Triangle read by rows: row n (n > 0) gives the coefficients of x^k (0 <= k <= n - 1) in the expansion of Sum_{j=0..n} A000931(j+4)*binomial(n, j)*x^(j - 1)*(1 - x)^(n - j).at n=49A144400