1,1,1,2,2,3,4,5,7,9,12,16,21,28……数列1,1,1,2,2,3,4,5,7,9,12,16,21,28……这样的数列叫什么名字?(前两项和等于个一项的项)

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1,1,1,2,2,3,4,5,7,9,12,16,21,28……数列1,1,1,2,2,3,4,5,7,9,12,16,21,28……这样的数列叫什么名字?(前两项和等于个一项的项)

1,1,1,2,2,3,4,5,7,9,12,16,21,28……数列1,1,1,2,2,3,4,5,7,9,12,16,21,28……这样的数列叫什么名字?(前两项和等于个一项的项)
1,1,1,2,2,3,4,5,7,9,12,16,21,28……数列
1,1,1,2,2,3,4,5,7,9,12,16,21,28……这样的数列叫什么名字?(前两项和等于个一项的项)

1,1,1,2,2,3,4,5,7,9,12,16,21,28……数列1,1,1,2,2,3,4,5,7,9,12,16,21,28……这样的数列叫什么名字?(前两项和等于个一项的项)
应该是:
斐波那契数列 1、1、2、3、5、8、13、21、……
通项式
F(n)=(1/√5)*{[(1+√5)/2]^n - [(1-√5)/2]^n}
这样一个完全是自然数的数列,通项公式居然是用无理数来表达的.
还可以发现 S0+S1+S2+……+Sn-2 =Sn -1
但是他有产生了变异...,后面我也不知道了

不懂 好像没看出规律来,你可以用归纳法做下试试

三楼牛的。。。

Padovan sequence:
1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465,...
The Padovan sequence is named after Richard Padovan who attributed its discover...

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Padovan sequence:
1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465,...
The Padovan sequence is named after Richard Padovan who attributed its discovery to Dutch architect Hans van der Laan in his 1994 essay Dom. Hans van der Laan : Modern Primitive. The sequence was described by Ian Stewart in his Scientific American column Mathematical Recreations in June 1996.

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帕多瓦数列