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A102380 Irregular triangle read by rows in which row n lists prime factors (with multiplicity) of the repunit (10^n - 1)/9 (A002275(n)). 11
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A003020 for other links and references.

LINKS

Ray Chandler, Rows n = 1..322, flattened (first 100 rows from T. D. Noe)

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 19-th row = [2071723, 5363222357].

Samuel Yates, The Mystique of Repunits, Math. Mag. 51 (1978), 22-28.

EXAMPLE

First rows:

    1;

   11;

    3,   37;

   11,  101;

   41,  271;

    3,    7, 11, 13, 37;

  239, 4649;

  ...

MAPLE

[seq( ifactor((10^n-1)/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

STATUS

approved

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Last modified January 18 17:28 EST 2021. Contains 340254 sequences. (Running on oeis4.)