The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A074829 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A074829

Triangle formed by Pascal's rule, except that the n-th row begins and ends with the n-th Fibonacci number.
(history; published version)

#23 by Peter Luschny at Tue Sep 14 03:52:59 EDT 2021

STATUS

reviewed

approved

#22 by Michel Marcus at Tue Sep 14 00:39:13 EDT 2021

STATUS

proposed

reviewed

#21 by Jon E. Schoenfield at Mon Sep 13 23:59:11 EDT 2021

STATUS

editing

proposed

#20 by Jon E. Schoenfield at Mon Sep 13 23:58:23 EDT 2021

EXAMPLE

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========= PROPOSED ALTERNATIVE TRIANGLE FORMAT =========

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...

Formatted as a symmetric triangle:

STATUS

proposed

editing

Discussion

Mon Sep 13

23:59

Jon E. Schoenfield: "Symmetric triangle"?  "Symmetrical triangle?"

#19 by Jon E. Schoenfield at Mon Sep 13 01:16:19 EDT 2021

STATUS

editing

proposed

Discussion

Mon Sep 13

02:35

Joerg Arndt: Suggest to keep both triangles.

04:49

Kevin Ryde: There's quite a lot of Pascal borders sequences along these lines (30 by human look, over 100 more by computer candidates), if may want to plan ahead how much to do.

#18 by Jon E. Schoenfield at Mon Sep 13 01:12:34 EDT 2021

EXAMPLE

========================================================

========= PROPOSED ALTERNATIVE TRIANGLE FORMAT =========

========================================================

1;

1, 1;

2, 2, 2;

3, 4, 4, 3;

5, 7, 8, 7, 5;

8, 12, 15, 15, 12, 8;

13, 20, 27, 30, 27, 20, 13;

21, 33, 47, 57, 57, 47, 33, 21;

34, 54, 80, 104, 114, 104, 80, 54, 34;

Discussion

Mon Sep 13

01:16

Jon E. Schoenfield: Given the familiar symmetrical layout usually used in depicting Pascal’s Triangle, I thought something like this might work well here. Thoughts?

#17 by Jon E. Schoenfield at Mon Sep 13 01:03:27 EDT 2021

NAME

Triangle formed by Pascal's rule, except begin and end that the n-th row begins and ends with the n-th Fibonacci number.

EXAMPLE

The first and second Fibonacci numbers are 1, 1, so the first and second rows of the triangle are 1; 1 1; respectively. The third row of the triangle begins and ends with the third Fibonacci number, 2 and the middle term is the sum of the contiguous two terms in the second row, i.e. , 1 + 1 = 2; , so the third row is 2 2 2.

STATUS

proposed

editing

#16 by Greg Dresden at Mon Sep 13 00:10:20 EDT 2021

STATUS

editing

proposed

#15 by Greg Dresden at Mon Sep 13 00:10:11 EDT 2021

CROSSREFS

Some other Fibonacci-Pascal triangles: A027926, A036355, A037027, A105809, A108617, A109906, A111006, A114197, A162741, A228074.

STATUS

approved

editing

#14 by Susanna Cuyler at Fri Jul 12 20:17:33 EDT 2019

STATUS

proposed

approved