

A179806


Irregular triangle by rows, M*Q. M = triangle with (1,2,3,...) in every column, with the leftmost column shifted upwards one row. Q = a diagonalized variant of odd indexed Fibonacci numbers.


1



1, 2, 3, 2, 4, 4, 5, 5, 6, 10, 13, 6, 8, 15, 26, 34, 7, 10, 20, 39, 68, 89, 8, 12, 25, 52, 102, 178, 233, 9, 14, 30, 65, 136, 267, 466, 610, 10, 16, 35, 78, 170, 356, 699, 1220, 1597
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

Row sums = the odd indexed Fibonacci numbers, A001519, starting with offset 1.
Sums of row terms = (1, 2, 5, 13, 34, 89,...).
For rows >1, sum of nth row terms = rightmost term of next row.


LINKS

Table of n, a(n) for n=1..46.


FORMULA

Triangle, M*Q; where M = a triangle with (1,2,3,...) in every column with the
leftmost column shifted upwards one row. Q = an infinite matrix with
the odd indexed Fibonacci numbers as the right border: (1, 2, 5, 13,...) and
the rest zeros.


EXAMPLE

First few rows of the triangle =
1;
2;
3, 2;
4, 4, 5;
5, 6, 10, 13;
6, 8, 15, 26, 34;
7, 10, 20, 39, 68, 89;
8, 12, 25, 52, 102, 178, 233;
9, 14, 30, 65, 136, 267, 466, 610;
10, 16, 35, 78, 170, 356, 699, 1220, 1597;
11, 18, 40, 91, 204, 445, 932, 1830, 3194, 4181;
12, 20, 45, 104, 238, 534, 1165, 2440, 4791, 8362, 10946;
...


CROSSREFS

Cf. A001519
Sequence in context: A324750 A320348 A145394 * A182762 A173997 A029143
Adjacent sequences: A179803 A179804 A179805 * A179807 A179808 A179809


KEYWORD

nonn,tabf


AUTHOR

Gary W. Adamson, Jul 28 2010


STATUS

approved



