19981

Appears in sequences

• Expansion of 1/((1-5*x)(1-6*x)(1-7*x)).at n=4A019757
• Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 5).at n=51A035556
• a(n) is the smallest k such that number of non-unitary prime divisors of central binomial coefficient, A001405(k) = C(k, floor(k/2)) equals n.at n=21A081394
• Structured pentagonal icositetrahedral numbers (vertex structure 13).at n=12A100167
• 5-Stirling numbers of the second kind.at n=23A193685
• Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 4.at n=27A244458
• Number of length n+2 0..2 arrays with the sum of second differences squared multiplied by some arrangement of +-1 equal to zero.at n=7A250314
• T(n,k)=Number of length n+2 0..k arrays with the sum of second differences squared multiplied by some arrangement of +-1 equal to zero.at n=43A250320
• Number of sets of exactly n positive integers <= n+5 having a square element sum.at n=40A281968
• Generalized Lucas-Carmichael numbers for D=9697.at n=40A290560
• a(n) is the number of integer partitions of n for which the largest part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.at n=56A318203
• First quadrisection of A332843.at n=21A330522
• a(n) is the number of vertices formed by n-secting the angles of a nonagon (enneagon).at n=35A335782
• Number triangle T associated with 2-Stirling numbers and Lehmer-Comtet numbers (see Comments and Formula section).at n=31A360657
• Square array A(n, k) = ((k+2)^(n+2) - 2 * (k+1)^(n+2) + k^(n+2))/2 for k, n >= 0 read by ascending antidiagonals.at n=50A372118
• G.f. satisfies A(x) = A( x^3 + x^3*A(x) ) / x^2.at n=17A377252
• Centered 30-gonal numbers.at n=36A389799