-451

Appears in sequences

• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=48A068762
• Coefficients of the A-Bailey Mod 9 identity.at n=64A104467
• Triangle read by rows: n-th diagonal (from the right) is the sequence of (signed) differences between pairs of consecutive terms in the (n-1)th diagonal. The rightmost diagonal (A136562) is defined: A136562(1)=1; A136562(n) is the smallest integer > A136562(n-1) such that any (signed) integer occurs at most once in the triangle A136561.at n=47A136561
• a(n) = n^3 - (3*(n+3))^2.at n=5A153259
• A symmetrical triangle sequence based on:q=2/12;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=16A174949
• A symmetrical triangle sequence based on:q=2/12;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=19A174949
• Numerators in triangle that leads to the (first) Bernoulli numbers A027641/A027642.at n=33A182397
• Imbalance of the number of parts of all partitions of n.at n=19A194796
• G.f.: Sum_{n=-oo..+oo} x^(n^2) / (1 - x^n)^n.at n=50A261605
• Expansion of f(-x^2)^7 / (f(x) * f(-x^8)^2) in powers of x where f() is a Ramanujan theta function.at n=55A279918
• a(n) = reverse(10*n - a(n-1)), with n>1, a(1) = 1.at n=50A339141
• G.f. A(x) satisfies: 1 / (1 - x) = Product_{i>=1, j>=1} A(x^(i*j)).at n=43A351402
• Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.at n=16A359603
• a(n) = A325977(A228058(n)).at n=25A389217
• a(n) = A325977(A228058(n)).at n=44A389217