33660
domain: N
Appears in sequences
- a(n) = (6^n/n!)*Product_{k=0..n-1} (6*k + 5).at n=3A004994
- Theta series of A*_10 lattice.at n=38A023922
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 1 skipped prime.at n=20A050768
- Composite numbers requiring increasingly larger bases to become prime by base reversal.at n=24A075243
- Antidiagonal sums of square array A082011.at n=21A082014
- a(n) = n*(n+1)*(2n+1)*(3n+1)*(4n+1)/30.at n=8A094323
- a(n) = n^6 - 11n^4 + 36n^2 - 36.at n=6A109256
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=12.at n=17A135197
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, 1), (0, 1, 0), (1, 0, -1)}.at n=9A149896
- a(n) = (6 + 10*n + 5*n^2 + n^3)/2.at n=39A164845
- Numbers with prime factorization pqrs^2t^2.at n=9A189989
- Irregular triangle M_2(n,k) read by rows: number of maximum k-matchings in rooted plane trees of size n, 1<=k<=n/2, 2<=n.at n=22A219731
- Expansion of 1/(1 - 16*x)^(1/8).at n=5A224881
- Number of compositions of n such that the smallest part has multiplicity three.at n=16A241863
- Square array read by antidiagonals downwards: super Patalan numbers of order 6.at n=9A248328
- Magic sums of 4 X 4 magic squares composed of odd squares.at n=11A271582
- A fourth-order divisibility sequence: a(n) = (1/14)*(Pell(4*n) + Pell(2*n)).at n=3A273626
- Expansion of g.f. A(x,y) satisfying A(x,y) = 1 + x*A(x,y)/(1 - x*y * A(x,y))^2, as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=69A365770
- Numbers k such that binomial(k^2,k) == 0 (mod k^3).at n=7A371474
- Least positive integer k which has at least n divisors d for which tau(k) = sigma(d).at n=2A381927