-861
domain: Z
Appears in sequences
- Alternating sum of squares to n.at n=40A089594
- Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=41A110668
- Triangle T, read by rows, equal to the matrix product T = H*C*H, where H is the self-inverse triangle A118433 and C is Pascal's triangle.at n=30A118438
- Exponential Riordan array (e^(-x(1+x)),x).at n=30A122833
- a(n) = mu(n) * A000217(n).at n=40A125287
- Triangle read by rows: row n gives coefficients C(n,j) for a Sheffer sequence (binomial-type) with lowering operator (D-1)/2 + T{ (1/2) * exp[(D-1)/2] } where T(x) is Cayley's Tree function.at n=40A135494
- Expansion of 1/(1 + x - x^3 - x^4 - x^8 - x^12 - x^13 - x^17 - x^21 - x^22 - x^26 - x^30 - x^31 + x^33 + x^34).at n=49A173908
- A symmetrical triangle sequence based on:q=1/12;t(n,m,q)=12*(Binomial[n, m]*(1 - q) + (((n + m + 1)!/((n + 1)!* m!)) + ((2*n - m + 1)!/((n + 1)!*(n - m)!)))*q).at n=22A174948
- A symmetrical triangle sequence based on:q=1/12;t(n,m,q)=12*(Binomial[n, m]*(1 - q) + (((n + m + 1)!/((n + 1)!* m!)) + ((2*n - m + 1)!/((n + 1)!*(n - m)!)))*q).at n=26A174948
- 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=24A226923
- Alternating sum of hexagonal pyramidal numbers.at n=13A266677
- a(1) = 1; a(n) = -(1/2) * Sum_{d|n, d > 1} d * (d + 1) * a(n/d).at n=40A334879