

A102380


Irregular triangle read by rows in which row n lists prime factors (with multiplicity) of the repunit (10^n  1)/9 (A002275(n)).


13



1, 11, 3, 37, 11, 101, 41, 271, 3, 7, 11, 13, 37, 239, 4649, 11, 73, 101, 137, 3, 3, 37, 333667, 11, 41, 271, 9091, 21649, 513239, 3, 7, 11, 13, 37, 101, 9901, 53, 79, 265371653, 11, 239, 4649, 909091, 3, 31, 37, 41, 271, 2906161, 11, 17, 73, 101
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OFFSET

1,2


COMMENTS

See A003020 for other links and references.


LINKS

Rows n=1..352, flattened
Makoto Kamada, Factorizations of 11...11 (repunit).
Yousuke Koide, Factorizations of Repunit Numbers
Franz Lemmermeyer, Simerka  Quadratic Forms and Factorization, arXiv:1201.0282 [math.NT], 2011. For the 19th row = [2071723, 5363222357].
Samuel Yates, The Mystique of Repunits, Math. Mag. 51 (1978), 2228.


EXAMPLE

First rows:
1;
11;
3, 37;
11, 101;
41, 271;
3, 7, 11, 13, 37;
239, 4649;
...


MAPLE

[seq( ifactor((10^n1)/9), n=1..20)];


CROSSREFS

Cf. A002275, A067063, A003020, A204845, A204846, A204847, A204848.
Sequence in context: A087100 A298256 A298927 * A204845 A260597 A147555
Adjacent sequences: A102377 A102378 A102379 * A102381 A102382 A102383


KEYWORD

nonn,tabf


AUTHOR

N. J. A. Sloane, Nov 28 2006


EXTENSIONS

First 100 rows in bfile from T. D. Noe, Feb 27 2009
Rows n=101..322 in bfile from Ray Chandler, May 01 2017
Rows n=323..352 in bfile from Max Alekseyev, Apr 26 2022


STATUS

approved



