22302

Appears in sequences

• Larger of unitary amicable pair.at n=2A002953
• Cycle of 3 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'.at n=5A034593
• a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048225.at n=29A048235
• Unitary amicable numbers.at n=5A063991
• Sequence A014486 shown in base 4.at n=25A085185
• Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=35A102532
• a(n) = tau(n) * (NumberOfPartitions(n) - 1).at n=28A141668
• 7 times heptagonal numbers: a(n) = 7*n*(5*n-3)/2.at n=36A152777
• Triangle T(n, k) = Number of non-equivalent (mod D_4) ways to arrange k indistinguishable points on an n X n square grid so that no three of them are collinear. Triangle read by rows.at n=45A235453
• Number of non-equivalent (mod D_4) ways to arrange 4 points on an n X n square grid so that no three points are collinear.at n=5A235455
• Expansion of 1/G(1) where G(k) = 1 - (q^k/(1-q^k)) / G(k+1).at n=13A238437
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 118", based on the 5-celled von Neumann neighborhood.at n=38A270187
• List of pairs of unitary amicable numbers (m, n) with record low values of m/n.at n=3A292020
• Numbers that are members of unitary sigma aliquot cycles (union of unitary perfect, unitary amicable and unitary sociable numbers).at n=30A327157
• Triangle read by rows: coefficients of the polynomials given by KummerU(-n, 1 - n - x, 3).at n=51A327997
• Irregular triangle of cycles of purely periodic unitary sigma aliquot sequences with their smallest member as starting number, read by rows.at n=30A336216
• G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = Sum_{n=-oo..oo} x^(n*(n+1)/2) * y^(n*(n-1)/2) is Ramanujan's theta function.at n=58A354649
• G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = Sum_{n=-oo..oo} x^(n*(n+1)/2) * y^(n*(n-1)/2) is Ramanujan's theta function.at n=58A354650
• Column 2 of triangle A354650: a(n) = A354650(n,2), for n >= 1.at n=6A354655