66424
domain: N
Appears in sequences
- a(n) = 10*n^3 - 6*n^2.at n=19A006592
- Decimal concatenations of the 38 quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} for which there exists a prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5).at n=33A078870
- Numbers k such that k and k^2 use only the digits 1, 2, 4, 6 and 7.at n=36A136993
- The function W_n(8) (see Borwein et al. reference for definition).at n=7A169712
- Partial sums of floor(3^n/4).at n=10A178222
- Spironacci-style recurrence: a(0)=0, a(1)=1, a(n) = 2*a(n) XOR a(A265409(n)).at n=17A265407
- E.g.f.: C(x,k) = 1 + Integral S(x,k)*D(x,k)^2 dx, such that C(x,k)^2 - S(x,k)^2 = 1, and D(x,k)^2 - k^2*S(x,k)^2 = 1, as a triangle of coefficients read by rows.at n=22A322231
- E.g.f.: D(x,k) = dn( i * Integral C(x,k) dx, k) such that C(x,k) = cn( i * Integral C(x,k) dx, k), where D(x,k) = Sum_{n>=0} Sum_{j=0..n} T(n,j) * x^(2*n)*k^(2*j)/(2*n)!, as a triangle of coefficients T(n,j) read by rows.at n=26A325222
- Triangle of coefficients of the primitive Eulerian polynomials of type D T(n,k) (n >= 2, 1 <= k <= n) read by rows.at n=36A363935
- a(n) = (n!)^2 [x^n] hypergeom([], [1], x)^8.at n=4A385286
- a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units with a trapezoid filled by 3 trapezoids.at n=35A391204