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A136375 Irregular array read by rows, where n-th row gives denominators of the Egyptian fraction expansion, derived using the greedy algorithm, for the absolute value of the fractional part of the (2n)th Bernoulli number. 1
0, 6, 30, 42, 30, 14, 231, 4, 322, 125580, 6, 11, 802, 1124805, 2, 3, 8, 78, 41496, 9, 77, 6930, 9, 83, 34362, 4, 322, 125580, 6, 15, 870, 2, 3, 15, 1557, 9291398, 172660144297410, 11, 802, 1124805, 6, 4, 13, 171, 885780, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..45.

EXAMPLE

Triangle begins:

0,

6,

30,

42,

30,

14,231

4,322,125580

The 10th Bernoulli number is 5/66. The largest unit fraction <= 5/66 is 1/14. Now 5/66 - 1/14 is 1/231, which is itself a unit fraction. So the Egyptian fraction representation of 5/66 is 1/14 + 1/231. Therefore row 5 of this array is (14,231).

CROSSREFS

Cf. A000367, A002445.

Row sums: A151711. - N. J. A. Sloane, Jun 07 2009

Sequence in context: A316532 A062268 A067879 * A138706 A027762 A002445

Adjacent sequences:  A136372 A136373 A136374 * A136376 A136377 A136378

KEYWORD

more,nonn,tabf

AUTHOR

Leroy Quet, Mar 29 2008

EXTENSIONS

Row 6 from N. J. A. Sloane, Jun 07 2009

Better definition and more terms from T. D. Noe, Jun 07 2009

STATUS

approved

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Last modified October 17 17:08 EDT 2018. Contains 316290 sequences. (Running on oeis4.)