包含前导零的情况下,第一个A000041号(n) 术语对应于n的分区列表,它们是按字典顺序排列的非递减组合。
例如,第一个A000041号(10) =42项对应于10的分区,如下所示(二进制展开式中的点表示零):
[n]二进制(a(n))(n)分区
[ 0] .......... 0 [ 1 1 1 1 1 1 1 1 1 1 ]
[ 1] .........1 1 [ 1 1 1 1 1 1 1 1 2 ]
[ 2] ........11 3 [ 1 1 1 1 1 1 1 3 ]
[ 3] .......1.1 5 [ 1 1 1 1 1 1 2 2 ]
[ 4] .......111 7 [ 1 1 1 1 1 1 4 ]
[ 5] ......1.11 11[1 1 1 1 1 2 3]
[ 6] ......1111 15[11 1 1 1 15]
[7]。。。。。1.1.1 21 [ 1 1 1 1 2 2 2 ]
[ 8] .....1.111 23 [ 1 1 1 1 2 4 ]
[ 9] .....11.11 27 [ 1 1 1 1 3 3 ]
[10] .....11111 31 [ 1 1 1 1 6 ]
[11] ....1.1.11 43 [ 1 1 1 2 2 3 ]
[12] ....1.1111 47 [ 1 1 1 2 5 ]
[13] ....11.111 55 [ 1 1 1 3 4 ]
[14] ....111111 63 [ 1 1 1 7 ]
[15] ...1.1.1.1 85 [ 1 1 2 2 2 2 ]
[16] ...1.1.111 87 [ 1 1 2 2 4 ]
[17] ...1.11.11 91 [ 1 1 2 3 3 ]
[18] ...1.11111 95 [ 1 1 2 6 ]
[19] ...11.1111 111 [ 1 1 3 5 ]
[20] ...111.111 119 [ 1 1 4 4 ]
[21] ...1111111 127 [ 1 1 8 ]
[22] ..1.1.1.11 171 [ 1 2 2 2 3 ]
[23] ..1.1.1111 175 [ 1 2 2 5 ]
[24] ..1.11.111 183[1 2 3 4]
[25] ..1.1111111 191[1 2 7]
[26]。。11.11.11 219 [ 1 3 3 3 ]
[27] ..11.11111 223 [ 1 3 6 ]
[28] ..111.1111 239 [ 1 4 5 ]
[29] ..11111111 255 [ 1 9 ]
[30] .1.1.1.1.1 341 [ 2 2 2 2 2 ]
[31] .1.1.1.111 343 [ 2 2 2 4 ]
[32] .1.1.11.11 347 [ 2 2 3 3 ]
[33] .1.1.11111 351 [ 2 2 6 ]
[34] .1.11.1111 367 [ 2 3 5 ]
[35] .1.111.111 375 [ 2 4 4 ]
[36] .1.1111111 383 [ 2 8 ]
[37] .11.11.111 439 [ 3 3 4 ]
[38] .11.111111 447 [ 3 7 ]
[39] .111.11111 479 [ 4 6 ]
[40] .1111.1111 495 [ 5 5 ]
[41] .111111111 511 [ 10 ]
(结束)
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