-407
domain: Z
Appears in sequences
- sech(sin(sinh(x)))=1-1/2!*x^2+5/4!*x^4-13/6!*x^6-407/8!*x^8...at n=4A012033
- Nonzero numerators in asymptotic expansion of the Riemann-Seigel Z-function.at n=21A050276
- McKay-Thompson series of class 44a for Monster.at n=27A058680
- a(n)=(-1)^n(1 - (1/12)n(n + 1)(12 - n + n^2)).at n=8A080275
- Expansion of Re(x/(1-x-2*i*x^2)), i=sqrt(-1).at n=16A106201
- a(0) = 121; for n>0, a(n) = a(n-1) - n + 1.at n=33A137517
- Triangle T(n,k) = A006130(k) - A006130(n) + A006130(n-k) read by rows.at n=38A176261
- Triangle T(n,k) = A006130(k) - A006130(n) + A006130(n-k) read by rows.at n=42A176261
- A sequence of row differences for table A182119.at n=4A182188
- Expansion of exp( Sum_{n>=1} -3*sigma(2n)*x^n/n ) in powers of x.at n=21A185653
- First differences of A060819(n-4)*A060819(n).at n=22A185688
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202674 based on (1,3,5,7,9,...); by antidiagonals.at n=36A202675
- Values of n such that L(16) and N(16) 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=4A227519
- Expansion of Product_{k>=1} (1 + x^(6*k))/(1 + x^k).at n=53A261736
- Expansion of q^(-2/5) * (r(q^2) + r(q)^2) / 2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=41A285555
- a(n) = 105 - 2^n.at n=9A286812
- G.f.: Im((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=54A292043
- Expansion of Product_{k>=1} (1 - x^k * (1 + x)).at n=52A306565
- Numerator generator for offsets from the quarter points of the Cantor ternary set to the center points of deleted middle thirds: 1 is in the list and if m is in the list -3m-4 and -3m+4 are in the list, which is ordered by absolute value.at n=16A355680
- Expansion of g.f. A(x,y) satisfying Sum_{n>=0} Product_{k=1..n} (x^k + y*A(x,y)) = 1 + (y+1) * Sum_{n>=1} x^(n*(n+1)/2), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y) read by rows.at n=81A370140