-455

Appears in sequences

• Expansion of Product_{n>=1} (1 - x^n)^7.at n=25A000730
• sec(sinh(x)*cos(x))=1+1/2!*x^2-3/4!*x^4-123/6!*x^6-455/8!*x^8...at n=4A012569
• a(n) = (1 - (-8)^n)/9.at n=3A014990
• Triangle of q-binomial coefficients for q=-8.at n=11A015118
• Triangle of q-binomial coefficients for q=-8.at n=13A015118
• Gaussian binomial coefficient [ n,3 ] for q = -8.at n=1A015276
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^15 in powers of x.at n=3A047640
• Coefficient array for certain polynomials N(5; k,x) (rising powers in x).at n=26A062986
• 5th differences of partition numbers A000041.at n=46A081095
• Riordan array (1/(1+x)^3,x/(1+x)^2).at n=41A109954
• Inverse of twin-prime related triangle A111125.at n=32A113187
• Inverse Euler transform of A118052.at n=52A118054
• Identity matrices minus Steinbach matrices as characteristic polynomials to give a triangular array I[n]-An[i,j]-> P[k,x] P[k,n]->T[n,m).at n=61A122160
• Riordan array (1/(1+x), x/(1+x)^2), inverse array is A039599.at n=51A129818
• Triangle T, read by rows, where row n+1 of T = row n of T^(-n) with appended '1' for n>=0 with T(0,0)=1.at n=31A132690
• Column 3 of triangle A132690.at n=4A132694
• a(n) = 3*a(n-1) - 4*a(n-3), with a(0)=1, a(1)=2, a(2)=4, a(3)=7.at n=14A136299
• Triangle of coefficients of a Pascal sum of recursive orthogonal Hermite polynomials given in Hochstadt's book: P(x, n) = x*P(x, n - 1) - n*P(x, n - 2); p2(x,n)=Sum[Binomial[n,m],{m,0,n}].at n=36A136645
• Triangle read by rows: numerators of coefficients of the Debye-type polynomial v_n used for asymptotic Airy-type expansions of Bessel functions of arbitrarily large order.at n=5A144622
• Let c(n) = x^(2^n-1)*(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. Sum_{n>=1} c(n)/h(n).at n=48A151676