A152203 Triangle T(n,k) = (2n+1-2k)*fibonacci(k), read by rows.

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

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+1-2k)Fibonacci[k], {n, 15}, {k, n}]] (* Harvey P. Dale, Mar 15 2015 *)

Crossrefs

Cf. A099375, A127647, A001891 (row sums).

Sequence in context: A268829 A249100 A356255 * A340526 A161946 A013597

Adjacent sequences: A152200 A152201 A152202 * A152204 A152205 A152206

Keyword

nonn,tabl,easy

Author

Gary W. Adamson, Nov 29 2008

Status

approved