235224

Appears in sequences

• Expansion of e.g.f. log(-1/(-1+x))^2*x.at n=9A052745
• Numbers k such that k and k+1 are powerful numbers.at n=5A060355
• Powerful numbers of the form k^2 - 1.at n=4A060859
• X-values of solutions to the equation X*(X + 1) - 6*Y^2 = 0.at n=6A132596
• a(n) = -(sin(2*n*arccos(sqrt(3))))^2.at n=3A173115
• a(n) = sinh^2 (2n*arccosh(sqrt n)).at n=3A173150
• Numbers with prime factorization p^2*q^3*r^5 where p, q, and r are distinct primes.at n=11A190470
• 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=4A199801
• The smaller of a pair of successive powerful numbers (A001694) without any prime number between them.at n=30A240591
• p-INVERT of the odd positive integers, where p(S) = 1 + S - 2 S^2.at n=12A292491
• a(n) = n * (4*n + 3)^2.at n=24A322675
• 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=38A322699
• Numbers k such that s(k) = s(k+1) where s(k) is the sum of unitary, squarefree divisors of k, including 1 (A092261).at n=30A327875
• Numbers k such that k and k+1 are both divisible by the square of their largest prime factor.at n=38A354558
• 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=2A358174
• The smaller of a pair of successive powerful numbers without a nonsquarefree number between them.at n=16A371190
• Positions of records in A375970.at n=15A375971
• a(n) is the conjectured largest number such that both a(n) and a(n) - n are 11-smooth numbers, or 0 if no such number exists. a(n) can be less than n.at n=23A392256