49140

Appears in sequences

• Alkane (or paraffin) numbers l(8,n).at n=23A005995
• Theta series of A_8 lattice.at n=8A008448
• n is equal to the number of 1's in all numbers <= n written in base 8.at n=14A014885
• Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic.at n=22A032092
• Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=40A033688
• There are exactly n integer-sided triangles of area a(n).at n=37A051586
• One half of binomial coefficients C(2*n-4,5).at n=11A053132
• McKay-Thompson series of class 28A for Monster.at n=39A058606
• Number of atoms in first n shells of type I hyperfullerene.at n=13A063497
• a(n) = n*(2^n - 1).at n=12A066524
• Numbers n such that sigma(n)^2 > 9*sigma_2(n) where sigma_2(n) is the sum of squares over the divisors of n.at n=27A068378
• Even order Taylor expansion coefficients at x=0 of exp(exp(x^2/2)-1), odd order coefficients being equal to zero.at n=5A081066
• Numbers k such that the total number of 1's in the binary expansion of all the divisors of k sets a new record.at n=37A093687
• a(n) = the smallest positive integer with exactly n positive "non-isolated divisors". A divisor, k, of n is non-isolated if (k-1) or (k+1) also divides n.at n=20A133996
• a(n) = area of Pythagorean triangle with hypotenuse p, where p = A002144(n) = n-th prime == 1 (mod 4).at n=41A145010
• a(n) = ((2^b-1)/phi(n))*Sum_{d|n} Moebius(n/d)*d^(b-1) for b = 4.at n=35A160892
• Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.at n=15A167104
• a(n) = sigma(n*2^n).at n=10A176311
• Numbers with prime factorization p*q*r*s^2*t^3 (where p, q, r, s, t are distinct primes).at n=6A190111
• Number of additive Z_2 Z_8 codes of a certain type (see Siap-Aydogdu for precise definition).at n=10A226264