465124
domain: N
Appears in sequences
- Numbers k such that k and k+1 are powerful numbers.at n=7A060355
- a(0)=0, a(1)=4; for n > 1, a(n) = 18*a(n-1) - a(n-2) + 8.at n=5A132584
- Primitive elements of A060355: n such that n and n+1 are powerful but n is not of the form 4m(m+1) where m and m+1 are powerful.at n=5A199801
- Number of 2 X n 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically.at n=14A207069
- Expansion of x^2*(1+x^2) / ( (x^2-x+1)*(-x^2-x+1)*(1+x+x^2) ).at n=30A227047
- The smaller of a pair of successive powerful numbers (A001694) without any prime number between them.at n=35A240591
- Numbers k with the property that it is possible to write the base 2 expansion of k as concat(a_2,b_2), with a_2>0 and b_2>0 such that, converting a_2 and b_2 to base 10 as a and b, we have (a+b)^2 = k.at n=26A258844
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is 1/2 * (-1 + Sum_{j=0..k} binomial(2*k,2*j)*(n+1)^(k-j)*n^j).at n=49A322699
- a(n) = n * (16*n^2+20*n+5)^2.at n=4A322745
- Smaller of a pair of numbers (m, m+1) such that both are products P of composite prime powers with omega(P) > 1.at n=3A358174
- The smaller of a pair of successive powerful numbers without a nonsquarefree number between them.at n=18A371190