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Mille and Remainder Resolution (Posted on 2016-02-01) Difficulty: 3 of 5
The sequence {S(n)} is defined as follows:
S(1) = S(2) = S(3) = 1, and:
S(k+3) = S(k+2) + S(k+1) + S(k), for k=1,2,.....n

It is known that:
S(28) = 6090307, S(29)= 11201821, and:
S(30) = 20603361.

Determine the remainder when Σk=1 to 28 S(k) is divided by 1000.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some Thoughtsre: spoiler solution; can it clue toward the intended method?Brian Smith2016-02-02 10:45:39
Some Thoughtsre: spoiler solution; can it clue toward the intended method?broll2016-02-02 08:54:27
Solutionspoiler solution; can it clue toward the intended method?Charlie2016-02-02 07:56:22
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