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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A182813 Triangle read by rows in which row n lists the parts of the largest subshell of all partitions of 2n+1 that do not contain 1 as a part. 1
 3, 5, 2, 7, 4, 3, 2, 2, 9, 5, 4, 6, 3, 3, 3, 3, 2, 2, 2, 2, 11, 6, 5, 7, 4, 8, 3, 4, 4, 3, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 13, 7, 6, 8, 5, 9, 4, 5, 4, 4, 10, 3, 5, 5, 3, 6, 4, 3, 7, 3, 3, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS In the shell model of partitions the head of the last section of the set of partitions of 2n+1 contains n subshells. The first n rows of this triangle represent these subsells. This sequence contains the same elements of A182743 but in distinct order. See A135010 and A138121 for more information. LINKS EXAMPLE For n=1 the unique partition of 2n+1=3 that does not contains 1 as part is 3, so row 1 has an element = 3. For n=2 there are 2 partitions of 2n+1=5 that do not contain 1 as part: 5 ............ or ....... 5 . . . . 3 + 2 ........ or .......(3). . 2 . These partitions contain (3), the row n-1 of triangle, so the parts of the largest subshell are 5, 2. For n=3 there are 4 partitions of 2n+1=7 that do not contain 1 as part: 7 ............ or ....... 7 . . . . . . 4 + 3 ........ or ....... 4 . . . 3 . . 5 + 2 ........ or .......(5). . . . 2 . 3 + 2 + 2 .... or .......(3). .(2). 2 . These partitions contain (5) and (3),(2), the parts of the rows < n of triangle, so the parts of the largest subshell are 7, 4, 3, 2, 2. And so on. Triangle begins: 3, 5,2, 7,4,3,2,2, 9,5,4,6,3,3,3,3,2,2,2,2, 11,6,5,7,4,8,3,4,4,3,5,3,3,2,2,2,2,2,2,2,2, CROSSREFS Cf. A135010, A138121, A182735, A182737, A182743, A182747, A182812. Sequence in context: A164611 A316086 A227988 * A334627 A073897 A237058 Adjacent sequences:  A182810 A182811 A182812 * A182814 A182815 A182816 KEYWORD nonn,tabf AUTHOR Omar E. Pol, Dec 04 2010 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.

Last modified April 20 07:46 EDT 2021. Contains 343125 sequences. (Running on oeis4.)