[seqfan] New sequence?

[Claudio Meller]

Hi, first of all I want to apologize for my bad English.

While watching the TV program the 1% club, the following question appeared
:

*"If all  the numbers from 1 to 20 are written out in words and put into
numerical order and then reorganised into alphabetical order, which is the
only number that stays in the same position?"*

o I thought that a sequence could be made using the numbers that remain in
their position in the lists from 1 to n or putting zero if there were
none.I found the following sequence :

[[1], [1, 2], [1], [3], 0, 0, 0, [6], 0, 0, [4, 7], [4, 7], [4, 7, 12], [4,
10], 0, [13], 0, [5], [5], [5], [5], [5], [5, 22], [5, 21], [5, 23], [5],
[5], [5], [5, 26], [5, 20], [5, 24, 27], [5], [5, 25], [5], [5, 29], [5],
[5, 28], [5], [5], [5, 9], [5, 16], [5], [5], [5, 17], [5, 32], [5, 14],
[5, 33], [5, 31], [5, 19], 0, [36], [30], [34, 37], 0, [35], 0, [39], 0,
[38], 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, [11, 62], 0, [63], [61], 0, 0, [66], [60], [64, 67], 0, [65],
0, [69], 0, [68], 0, 0, 0, 0, 0, 0, 0, [72], 0, [73], [71], 0, 0, [76],
[70], [74, 77], 0, [75], 0, [79], 0, [78], 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, [112, 122], 0, [123], [121],
0, 0, [126], [120], [124, 127], 0, [110, 125], 0, [113, 129], 0, [128], 0,
0, 0, 0, 0, 0, [132], 0, [133], [131], 0, 0, [116, 136], [130], [130, 200]]

The problem I found, as you can see, is that, for some values there is more
than one number that maintains its position.

I don't know if it is an interesting sequence, nor do I know if it is
possible to incorporate a sequence that has more than one value per term.

What I found interesting is that searching up to the numbers from 1 to
1000, all the numbers up to 399 are kept in their position at least once.

Best regards

-- 
Claudio Meller
http://grageasdefarmacia.blogspot.com
http://todoanagramas.blogspot.com/
http://simplementenumeros.blogspot.com/

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