-401

Appears in sequences

• Shifts left under Weigh transform.at n=28A038073
• a(n) = 2*a(n-1) - 3*a(n-2) + 2*a(n-3) with a(0) = 1, a(1) = 5, a(2) = 6.at n=15A105577
• Numerator of Hermite(n, 7/30).at n=2A160292
• Continued fraction for Euler-Mascheroni constant with convergents 0/1, 1/1, 1/2, 4/7, etc., which lie between the monotonically increasing series given by (Sum_{k=1..n} 1/k - Sum_{k=n..n^2} 1/k) and the monotonically decreasing series (Sum_{k=1..n} 1/k - Sum_{k=n..n^2-1} 1/k), both of which converge to gamma. Thus each p/q in the sequence lies within 1/q^2 of gamma.at n=27A178783
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{2i+j-2,2j+i-2} (A204004).at n=36A204005
• Values of n such that L(3) and N(3) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=14A226923
• Determinant of the (p_n-1)/2 X (p_n-1)/2 matrix with (i,j)-entry being the Legendre symbol ((j-i)/p_n), where p_n is the n-th prime.at n=24A228077
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 446", based on the 5-celled von Neumann neighborhood.at n=39A272251
• Sum of n-th powers of the roots of x^3 + x^2 - 9*x - 1.at n=5A274075
• Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=7.at n=57A275641
• E.g.f.: exp(-Sum_{n>=1} A000593(n) * x^n).at n=5A294460
• Expansion of Product_{k>=1} (1 - x^k * (1 + x)).at n=51A306565
• Triangle read by rows: T(0,0) = 1; T(n,k) = T(n-1,k) - 2*T(n-1,k-2) + T(n-1,k-3) for k = 0..3n; T(n,k)=0 for n or k < 0.at n=63A318686
• a(1) = 1; a(n) = -Sum_{d|n, d<n} prime(n/d) * a(d).at n=41A325891
• Dirichlet inverse of Čiurlionis sequence, A342002.at n=52A342417
• Expansion of e.g.f. 1/(exp(x) - log(1 + x)).at n=6A352138
• Expansion of e.g.f. 1/(exp(x) - x/(1 + x)).at n=6A352295
• G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x))^4.at n=6A385016
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385016.at n=34A385020