Maths Help Please
posted by Mathslover .
The sequence {ak}112 (base)k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let
S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋.
Find the remainder when S is divided by 1000.
Details and assumptions
The function ⌊x⌋:R→Z refers to the greatest integer smaller than or equal to x. For example ⌊2.3⌋=2 and ⌊−5⌋=−5.
Respond to this Question
Similar Questions

math
how can we make numbers from 1 to 15 with three 2? 
Combinations Maths
For how many positive integers n are there exactly ⌊n/2⌋ or ⌈n/2⌉ primes less than or equal to n? 
MATHS
The sequence {ak}112,k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋. Find the remainder when S is divided by 1000. 
maths
A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j … 
cananyone solvethis math
A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j … 
heeeeeelp math
A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j … 
heeeeeeeeelp math
A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j … 
Math (number theory)
For how many positive integers N is ⌊N^2/5⌋(floor of N^2/5) a prime? 
Algebra
How many positive integers are there such that ⌊√x⌋=10? 
Calculus  PLEASE HELP!!
For any real number x there is a unique integer n such that n≤x<n+1, and the greatest integer function is defined as ⌊x⌋=n. Where are the critical values of the greatest integer function?