標題:

Maths sequence help! i really need to know!

發問:

1, 3, 7, 12, 18, 26 ..... What is the sequence and the number afterwards? (The hint is it's related to cutting a cake.) Thx a lot. 更新: 1, 3, 7, 12, 18, 25?? can anyone 解釋 a bit? 更新 2: i thinks it's not too difficult but i can't get the answer

最佳解答:

「1, 3, 7, 12, 18, 26 ......」是屬於Hofstadter Figure-Figure sequences。 The Hofstadter Figure-Figure (R and S) sequences are defined as follows: R(1) = 1 ; S(1) = 2 R(n) = R(n - 1) + S(n - 1) , n > 1 with the sequence {S(n)} defined as the positive integers not present in {R(n)}. The first few terms of these sequences are R: 1, 3, 7, 12, 18, 26, 35, 45, 56, 69, 83, 98, 114, 131, 150, 170, 191, 213, 236, 260, 285, 312, 340, 369, 399, 430, 462, 495, 529, 565, 602, 640, 679, 719, 760, 802, 845, 889, 935, 982, 1030, 1079, 1129, 1180, 1232, 1285, 1339, 1394, 1451, 1509, 1568, 1628, 1689, ...... S: 2, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77, 78, ...... 資料來源： http://en.wikipedia.org/wiki/Hofstadter_sequence http://www.research.att.com/~njas/sequences/A005228 http://www.research.att.com/~njas/sequences/A030124

其他解答:

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thankyou. I get it now.|||||如果係1, 3, 7, 12, 18, 25，我就解釋到。 不過係1, 3, 7, 12, 18, 26，唔識解。SORRY!7638E7481407D16B
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