login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A140207 Triangle read by rows in which row n (n>=0) gives the first n terms of A000041. 7
1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 3, 5, 1, 1, 2, 3, 5, 7, 1, 1, 2, 3, 5, 7, 11, 1, 1, 2, 3, 5, 7, 11, 15, 1, 1, 2, 3, 5, 7, 11, 15, 22, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 1, 1, 2, 3, 5, 7, 11, 15, 22 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Number of partitions of n into distinct parts with maximal size, see A000009. - Reinhard Zumkeller, Jun 13 2009

It appears that T(n,k) is also the total number of occurrences of j in the last j shells of n+1, where j = n-k+1 (cf. A182703). - Omar E. Pol, Feb 07 2012

LINKS

Table of n, a(n) for n=0..86.

Francesca Aicardi, Matricial formulas for partitions, arXiv:0806.1273. [Note that there is an error in the triangle given there.]

EXAMPLE

Triangle begins:

1

1,1

1,1,2

1,1,2,3

1,1,2,3,5

1,1,2,3,5,7

1,1,2,3,5,7,11

1,1,2,3,5,7,11,15

1,1,2,3,5,7,11,15,22

1,1,2,3,5,7,11,15,22,30

1,1,2,3,5,7,11,15,22,30,42

1,1,2,3,5,7,11,15,22,30,42,56

1,1,2,3,5,7,11,15,22,30,42,56,77

1,1,2,3,5,7,11,15,22,30,42,56,77,101

CROSSREFS

Mirror of triangle A027293. - Omar E. Pol, Feb 07 2012

Sequence in context: A144328 A128227 A228107 * A104763 A027751 A181322

Adjacent sequences:  A140204 A140205 A140206 * A140208 A140209 A140210

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 10 2008, based on a suggestion from Gary W. Adamson

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 23 21:46 EST 2017. Contains 295141 sequences.