20448

Appears in sequences

• Number of times n-th energy state appears in statistical sum of Ising model on 4 X 4 X 4 cube.at n=8A008551
• Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=38A036008
• House numbers (version 2): a(n) = (n+1)^3 + (n+1)*Sum_{i=0..n} i.at n=23A050509
• McKay-Thompson series of class 18C for the Monster group.at n=46A058533
• McKay-Thompson series of class 36A for Monster.at n=46A058644
• Numbers k such that z(k) = j(k), where z(k) = sopf(k - d(k)), j(k) = d(sopf(k) + k), sopf(k) = A008472(k) and d(k) = A000005(k).at n=25A063961
• a(0)=1, a(n) = 8*n*(2*n-1).at n=36A067239
• Numbers n such that core(n)=floor(sqrt(n)), where core(x)=A007913(x) is the squarefree part of x and floor(sqrt(x))=A000196(x).at n=13A069186
• Fifth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself.at n=7A073375
• a(n) = 4*n^4 + 24*n^3 + 48*n^2 + 36*n + 8.at n=7A086302
• McKay-Thompson series of class 18C for the Monster group with a(0) = -3.at n=46A123676
• Sum of automorphism group orders for all simple graphs of order n.at n=6A124962
• Expansion of chi(q)^3 / chi(q^3) in powers of q where chi() is a Ramanujan theta function.at n=45A132972
• A Lucas-Binet triangle read by rows: t(n,m)=((( 1 + Sqrt[Prime[n]]))^m + (( 1 - Sqrt[Prime[n]]))^m)/2.at n=41A140895
• E.g.f. A(x) satisfies: A(x) = 1 + Series_Reversion( Integral 1/A(x)^2 dx ).at n=6A144002
• Eight times hexagonal numbers: a(n) = 8*n*(2*n-1).at n=36A152750
• Conjectured positive numbers which have more than one representation (m,s) as a difference s^2 - m^5, m >= 1, s > 0.at n=39A177770
• Triangle of polynomial coefficients: p(x,n) = (1 - 2x)^(n + 1)*(1 + Sum_{k>=1} 2^(k - 1)*k^n*x^k).at n=39A177971
• a(n) = (n^2-1)^2-1.at n=12A178392
• McKay-Thompson series of class 18C for the Monster group with a(0) = -2.at n=46A215412