Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A096038
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A096038 A triangle generated from a 3n+2 series matrix. +0
3
1, 6, 4, 14, 15, 7, 25, 23, 18, 10, 39, 37, 32, 24, 13, 56, 54, 49, 41, 30, 16 (list; graph; listen)
OFFSET

1,2

COMMENT

Leftmost column = A095794, (second pentagonal numbers minus 1): 1, 6, 14, 25, 39, 56... Diagonal = 1, 4, 7, 10...

FORMULA

Let M = the infinite lower triangular matrix having n terms in the n-th row of the series 2, 5, 8...(with the rest of the spaces filled in with zeros). Take M^2 - M and divide the leftmost column of that triangle by 2, the next column by 5, the next column by 8...; and so on.

EXAMPLE

Given the 3 X 3 matrix P (in the format of M): [2 0 0 / 2 5 0 / 2 5 8], M^2 - M = [2 0 0 / 12 20 0 / 28 60 56]. Delete the zeros, place terms in flush left columns, then divide the leftmost column (2, 12, 28...) by 2 getting (1, 6, 14...) which becomes the leftmost column of A096038. Divide the column (20, 60...) by 5, getting (4, 15...); etc.

CROSSREFS

Cf. A095794, A011379, A002411, A096037, A096036, A024212.

Adjacent sequences: A096035 A096036 A096037 this_sequence A096039 A096040 A096041

Sequence in context: A040032 A006582 A131828 this_sequence A083581 A107983 A009278

KEYWORD

nonn,uned

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


AT&T Labs Research