

A136375


Irregular array read by rows, where nth 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
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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: A062515 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



