21770

Appears in sequences

• Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=38A006037
• Multiplicity of highest weight (or singular) vectors associated with character chi_179 of Monster module.at n=39A034567
• Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188).at n=36A064114
• Expansion of x*(1-3*x-2*x^2)/(1-4*x+4*x^3+x^4).at n=11A107378
• Numbers k such that the number of prime divisors of the k-th Catalan number (counted with multiplicity) divides k.at n=40A121612
• 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, -1), (-1, -1, 1), (-1, 0, 0), (1, -1, 1), (1, 1, 0)}.at n=9A149139
• 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, 0, 1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=8A150196
• Number of distinct values of the sum of 5 products of three 0..n integers.at n=16A225262
• Number of nX3 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).at n=3A231823
• Number of nX4 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).at n=2A231824
• T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).at n=17A231828
• T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).at n=18A231828
• Numbers k such that Bernoulli number B_{k} has denominator 4686.at n=15A295770
• Nonexponential weird numbers: nonexponential abundant numbers (A348604) that are not equal to the sum of any subset of their nonexponential divisors.at n=32A348631
• (1+e)-weird numbers: (1+e)-abundant numbers k such that no subset of the aliquot (1+e)-divisors of k sums to k.at n=33A349285