login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A152203 Triangle T(n,k) = (2n+1-2k)*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 (list; table; graph; refs; listen; history; text; internal format)
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: 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 9 00:09 EDT 2021. Contains 343685 sequences. (Running on oeis4.)