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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제37권 제3호
- 발행연도
- 2019.1
- 수록면
- 177 - 182 (6page)
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This study is about the number expressed and the number not expressed in terms of the sum of consecutive natural numbers with a difference of 2k. Since it is difficult to generalize in cases of onsecutive positive integers with a difference of 2k, the table of cases of 4, 6, 8, 10, and 12 was examined to find the normality and to prove the hypothesis through the results. Generalized guesswork through tables was made to establish and prove the hypothesis of the number of possible and impossible numbers that are to all consecutive natural numbers with a difference of 2k. Finally, it was possible to verify the possibility and impossibility of the sum of consecutive cases of 124 and 2010. It is expected to be investigated the sum of consecutive natural numbers with a difference of 2k + 1, as a future research task.
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참고문헌 (5)
참고문헌 신청
John B. Cosgrave / 1994 / A Halmos Problem and a Related Problem / The American Mathematical Monthly 101:993~996
J. J. Sylvester / 1882 / A constructive theory of partitions, arranged in three acts, an interact and an exodion / Amer. J. Math 5:251~330
Ross Honsberger / 1996 / From Erdos to Kiev; Problems of Olympiad Caliber / MAA :19~20
M. D. Hirschhorm / 2005 / Partitions into consecutive parts / MMath. magazine 78:396~397
Ho-yeong Nam / 2006 / Creativity Mathematics For Gifted Education 1 (Algebra) / Kyung-moon publishers
J. J. Sylvester / 1882 / A constructive theory of partitions, arranged in three acts, an interact and an exodion / Amer. J. Math 5:251~330
Ross Honsberger / 1996 / From Erdos to Kiev; Problems of Olympiad Caliber / MAA :19~20
M. D. Hirschhorm / 2005 / Partitions into consecutive parts / MMath. magazine 78:396~397
Ho-yeong Nam / 2006 / Creativity Mathematics For Gifted Education 1 (Algebra) / Kyung-moon publishers
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