57346

Appears in sequences

• First occurrence of n consecutive numbers that take same number of steps to reach 1 in 3x+1 problem.at n=24A000546
• Sums of successive Motzkin numbers.at n=13A005554
• Pisot sequence P(5,11), a(0)=5, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1).at n=12A021008
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 31.at n=7A031619
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=17A078441
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=18A078441
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=19A078441
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=20A078441
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=21A078441
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=22A078441
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=23A078441
• a(n) begins the first chain of n consecutive positive integers that have equal h-values, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=24A078441
• Sum of all n-digit Motzkin numbers.at n=4A131692
• Base-3 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-3 digits, for some k.at n=29A162216
• Greatest integer equal to the sum of the n-th powers of its base-3 digits (written in base 10).at n=13A162218
• Least k starting a chain of (2n+1) consecutive integers {h(k+i)}, i=0,1,...,2n, where h(k) is the length of the finite set {k, f(k), f(f(k)), ..., 1} in the Collatz (or 3x + 1) problem, with the property that h(k) = h(k+2n), h(k+1) = h(k+2n-1), ..., h(k+n-1) = h(k+n+1).at n=10A268486
• Least k starting a chain of (2n+1) consecutive integers {h(k+i)}, i=0,1,...,2n, where h(k) is the length of the finite set {k, f(k), f(f(k)), ..., 1} in the Collatz (or 3x + 1) problem, with the property that h(k) = h(k+2n), h(k+1) = h(k+2n-1), ..., h(k+n-1) = h(k+n+1).at n=11A268486
• Numbers that begin a record-length run of consecutive numbers having the same Collatz trajectory length.at n=10A351104
• Numbers whose second arithmetic derivative (A068346) is a primorial number (A002110) > 1.at n=36A368702