

A124172


Triangle in which row n contains values from 1 to n in alphabetical order (in English).


1



1, 1, 2, 1, 3, 2, 4, 1, 3, 2, 5, 4, 1, 3, 2, 5, 4, 1, 6, 3, 2, 5, 4, 1, 7, 6, 3, 2, 8, 5, 4, 1, 7, 6, 3, 2, 8, 5, 4, 9, 1, 7, 6, 3, 2, 8, 5, 4, 9, 1, 7, 6, 10, 3, 2, 8, 11, 5, 4, 9, 1, 7, 6, 10, 3, 2, 8, 11, 5, 4, 9, 1, 7, 6, 10, 3, 12, 2, 8, 11, 5, 4, 9, 1, 7, 6, 10, 13, 3, 12, 2
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OFFSET

1,3


COMMENTS

This is a fractal sequence: if the first instance of each number is deleted, the original sequence is recovered.  Franklin T. AdamsWatters, Nov 24 2013
While it is unlikely to ever make a practical difference, for the sake of definiteness we specify that standard American number names are to be used.  Franklin T. AdamsWatters, Nov 24 2013
For 100th row, "one"=50th value and "one hundred"=51st value, placing the extremes in the center.  Peter Woodward, Jun 27 2015


LINKS

Table of n, a(n) for n=1..91.


EXAMPLE

Triangle begins:
1,
1,2,
1,3,2,
4,1,3,2
5,4,1,3,2
5,4,1,6,3,2,
...


MATHEMATICA

names = {"one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven", "twelve", "thirteen"}; Flatten[Table[Table[Position[names, Sort[Take[names, n]][[i]], 1, 1][[1, 1]], {i, n}], {n, Length[names]}]] (* T. D. Noe, Nov 25 2013 *)


CROSSREFS

Cf. A002260.
Sequence in context: A332899 A331521 A244967 * A336394 A336472 A058933
Adjacent sequences: A124169 A124170 A124171 * A124173 A124174 A124175


KEYWORD

nonn,tabl,word


AUTHOR

Colm Mulcahy, Dec 05 2006


EXTENSIONS

Edited name and more terms from Franklin T. AdamsWatters, Nov 24 2013


STATUS

approved



