원 위에 몇 개의 점을 잡아 다음과 같이 번호를 매긴다. 먼저, 한 지름의 양 끝점을 잡아 둘다 1로 번호를 매긴다. 그 다음부터는 전 단계에서 생긴 점들에 의해 분할된 호의 중을 찾아 양끝 두 점의 번호를 더한 값으로 번호를 매긴다. 예를 들어 4번의 시행 뒤에은 (1,4,3,5,2,5,3,4,1,4,3,5,2,5,3,4)와 같이 번호가 매겨진다. 이 과정을 n번 시행했을 때 원 위의 점의 번호들의 합은 얼마인가?
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