[其他] Gould's related sequence

看板Math作者pmove (我心匪席不可卷)時間1月前 (2025/11/06 10:28)推噓0(0推 0噓 12→)

留言12則, 3人參與討論串1/1

我在英文維基百科，Gould's sequence條目中，的Related sequences章節，看到： The binary logarithms (exponents in the powers of two) of Gould's sequence themselves form an integer sequence, 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, ... (sequence A000120 in the OEIS) in which the nth value gives the number of nonzero bits in the binary representation of the number n 請問為何Gould's sequece用The binary logarithms (exponents in the powers of two)表示，會跟n的非零bits數目一樣？我自己想都想不通，有人可以說得詳細直覺一點嗎？先謝謝了。 -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 210.59.165.163 (臺灣) ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1762396080.A.0CD.html

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pmove

11/06 16:16, 1月前 , 1^F

11/06 16:16, 1^F

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musicbox810

11/06 17:17, 1月前 , 2^F

11/06 17:17, 2^F

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pmove

11/06 17:17, 1月前 , 3^F

11/06 17:17, 3^F