-293

Appears in sequences

• Hankel transform of partition numbers (A000041).at n=65A056223
• McKay-Thompson series of class 84a for Monster.at n=55A058761
• Triangle of Faulhaber numbers (numerators) read by rows.at n=41A065551
• Expansion of 1/(1+x-x^2+2*x^3).at n=9A077972
• Triangle of numerators of coefficients of Faulhaber polynomials in Knuth's version.at n=39A093556
• Triangle of numerators of coefficients of Faulhaber polynomials used for sums of even powers.at n=31A093558
• Sequence is {a(7,n)}, where a(m,n) is defined in sequence A110665.at n=8A110672
• Number of partitions of n with even crank minus number of partitions of n with odd crank.at n=41A124226
• Expansion of phi(-x) * chi(-x) in powers of x where phi(), chi() are Ramanujan theta functions.at n=41A132970
• Triangle read by rows: n-th row (n>=0) gives coefficients of characteristic polynomial of n X n generalized Cartan matrix M defined in Comments.at n=31A136678
• Coefficients of denominator polynomials T(n,x) associated with reciprocation.at n=57A147986
• Numerator of Hermite(n, 1/14).at n=3A159507
• Triangle, read by rows, T(n,k,q) = c(k,q) + c(n-k,q) - c(n, q) where c(n,q) = Product_{j=1..n-1} ((q^(j+1) - 1)/(q-1)) and q = 2.at n=11A172091
• Triangle, read by rows, T(n,k,q) = c(k,q) + c(n-k,q) - c(n, q) where c(n,q) = Product_{j=1..n-1} ((q^(j+1) - 1)/(q-1)) and q = 2.at n=13A172091
• Array of coefficients of polynomials providing the third term of the numerator of the generating function for odd powers (2*m+1) of Chebyshev S-polynomials. The present polynomials are called P(m;2,x^2), m >= 2.at n=30A217479
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 521", based on the 5-celled von Neumann neighborhood.at n=48A272737
• Expansion of exp( Sum_{n>=1} -sigma_2(2*n)*x^n/n ) in powers of x.at n=11A283242
• Expansion of Product_{k>=1} (1 - x^k)^k/(1 - x^(5*k))^(5*k).at n=23A285285
• a(n) = reverse(10*n - a(n-1)), with n>1, a(1) = 1.at n=24A339141
• Product_{n>=1} (1 + a(n) * x^n) = 1 + Sum_{n>=1} (n * (n + 1) / 2) * x^n.at n=13A359407