36330

Appears in sequences

• Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=35A002413
• a(n) = n*(n+1)*(n^2 - 3*n + 6)/4.at n=20A062026
• 63-gonal numbers: a(n) = n*(61*n - 59)/2.at n=35A098140
• Structured disdyakis dodecahedral numbers (vertex structure 9).at n=17A100161
• Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=17A192753
• Even heptagonal pyramidal numbers.at n=25A218325
• Coefficient array for powers of x^2 of polynomials appearing in a generalized Melham conjecture on alternating sums of fifth powers of Chebyshev S polynomials with odd indices.at n=26A220671
• Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 10.at n=57A244464
• Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k valleys of width 1 (i.e., DHU configurations, where U=(0,1), H=(1,0), D=(0,-1)), (n>=2, k>=0).at n=44A273721
• G.f. A(x,y) satisfies: A( x - y*G(x,y), y) = x + (1-y)*G(x,y) such that G(x,y) = Integral A(x,y) dx, where the coefficients T(n,k) of x^n*y^k form a triangle read by rows n>=1, for k=0..n-1.at n=25A277410
• A diagonal of triangle A277410.at n=4A277412
• Expansion of Product_{j>=1} 1/(1 - x^j*Product_{k>=1} 1/(1 - x^k)^(k*j))^j.at n=9A307570
• Diagonal terms in the expansion of (1+x*y*z)/(1-x-y-z).at n=4A338075
• Diagonal of rational function 1/(1 - (x^3 + y^3 + z^3 + x^4*y*z)).at n=12A361739
• Numbers m such that 20*m + 1, 80*m + 1, 100*m + 1, and 200*m + 1 are all primes.at n=38A372186
• Products of 5 distinct primes that are sandwiched between squarefree semiprime numbers.at n=37A376949