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

 

Logo


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: A176484 A144328 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 March 24 01:22 EDT 2017. Contains 283984 sequences.