

A152203


Triangle T(n,k) = (2n+12k)*fibonacci(k), read by rows.


1



1, 3, 1, 5, 3, 2, 7, 5, 6, 3, 9, 7, 10, 9, 5, 11, 9, 14, 15, 15, 8, 13, 11, 18, 21, 25, 24, 13, 15, 13, 22, 27, 35, 40, 39, 21, 17, 15, 26, 33, 45, 56, 65, 63, 34, 19, 17, 30, 39, 55, 72, 91, 105, 102, 55, 21, 19, 34, 45, 65, 88, 117, 147, 170, 165
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..65.


FORMULA

Triangle read by rows, A099375 * A127647 = termwise products of odd numbers and the Fibonacci series.


EXAMPLE

First few rows of the triangle =
1;
3, 1;
5, 3, 2;
7, 5, 6, 3;
9, 7, 10, 9, 5;
11, 9, 14, 15, 15, 8;
13, 11, 18, 21, 25, 24, 13;
15, 13, 22, 27, 35, 40, 39, 21;
17, 15, 26, 33, 45, 56, 65, 63, 34;
...
Row 4 = (7, 5, 6, 3) = termwise products of (7, 5, 3, 1) and (1, 1, 2, 3).


MATHEMATICA

Flatten[Table[(2n+12k)Fibonacci[k], {n, 15}, {k, n}]] (* Harvey P. Dale, Mar 15 2015 *)


CROSSREFS

Cf. A099375, A127647, A001891 (row sums).
Sequence in context: A209578 A268829 A249100 * A340526 A161946 A013597
Adjacent sequences: A152200 A152201 A152202 * A152204 A152205 A152206


KEYWORD

nonn,tabl,easy


AUTHOR

Gary W. Adamson, Nov 29 2008


STATUS

approved



