84700

Appears in sequences

• Theta series of A*_10 lattice.at n=47A023922
• Number of sorted multiplicative partitions of n!.at n=18A085288
• a(n) = (n+1)*(2n+1)^2.at n=27A139757
• A symmetrical binomial product triangle sequence:q=4; t(n,m,q)=If[n == 0 || n == 1, 1, Product[Binomial[n + i, m + i], {i, -Floor[q/2], Floor[q/2]}] + Product[Binomial[n + i, n - m + i], {i, -Floor[q/2], Floor[q/2]}]].at n=17A174149
• A symmetrical binomial product triangle sequence:q=4; t(n,m,q)=If[n == 0 || n == 1, 1, Product[Binomial[n + i, m + i], {i, -Floor[q/2], Floor[q/2]}] + Product[Binomial[n + i, n - m + i], {i, -Floor[q/2], Floor[q/2]}]].at n=18A174149
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+287)^2 = y^2.at n=32A205644
• a(n) = phi(3^n-1), where phi is Euler's totient function (A000010).at n=10A295500
• Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence where repeated terms are admitted.at n=10A319718
• Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence of distinct terms.at n=10A319921
• Numbers k such that A011772(k) > A344878(k) and A011772(k) is a divisor of A344875(k).at n=33A344595
• Numbers that are the sum of eight fifth powers in three or more ways.at n=6A345611
• Numbers that are the sum of eight fifth powers in exactly three ways.at n=6A346328
• Coefficients of the inverse refined Eulerian partition polynomials [E]^{-1}, partitional inverse to A145271. Irregular triangle read by row with lengths A000041.at n=49A356145
• Triangular array read by rows. T(n,k) is the number of Green's H-classes of rank k in the semigroup of partial transformations, n >= 0, 0 <= k <= n.at n=38A363849
• a(n) = (3*n - 2)^2*(3*n - 1)/2.at n=18A386906