

A119935


Triangle of numerators of the cube of a certain lower triangular matrix.


4



1, 7, 1, 85, 19, 1, 415, 115, 37, 1, 12019, 3799, 1489, 61, 1, 13489, 4669, 2059, 919, 91, 1, 726301, 268921, 128431, 64171, 7669, 127, 1, 3144919, 1227199, 621139, 334699, 178669, 3565, 169, 1, 30300391
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,2


COMMENTS

The triangle of the corresponding denominators is A119932.
This triangle of numerators is related to (and was derived from) A027447. There the lowest common multiple (lcm) of the denominators of each row i of the triangle of rationals r(i,j) has been multiplied in order to obtain an integer triangle.


LINKS

Table of n, a(n) for n=0..36.
W. Lang: First ten rows and rationals.


FORMULA

a(i,j)= numerator(r(i,j)) with r(i,j):=(A^3)[i,j], where the lower triangular matrix A has elements a[i,j] = 1/i if j<=i, 0 if j>i.


CROSSREFS

a(i, j)=1/A002024(i, j), i>=1, j<=i.
Row sums give A119934. Row sums of the triangle of rationals are identical 1.
Sequence in context: A221367 A110788 A100254 * A027447 A027517 A092082
Adjacent sequences: A119932 A119933 A119934 * A119936 A119937 A119938


KEYWORD

nonn,easy,tabl,frac


AUTHOR

Wolfdieter Lang, Jul 20 2006


STATUS

approved



