This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A207779 Largest part plus the number of parts of the n-th region of the section model of partitions. 14
 2, 4, 6, 3, 9, 4, 12, 3, 6, 4, 17, 4, 7, 5, 22, 3, 6, 4, 10, 6, 5, 30, 4, 7, 5, 11, 4, 8, 6, 39, 3, 6, 4, 10, 6, 5, 15, 5, 9, 7, 6, 52, 4, 7, 5, 11, 4, 8, 6, 17, 6, 5, 11, 8, 7, 67, 3, 6, 4, 10, 6, 5, 15, 5, 9, 7, 6, 22, 4, 8, 6, 13, 5, 10, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Also semiperimeter of the n-th region of the geometric version of the section model of partitions. Note that a(n) is easily viewable as the sum of two perpendicular segments with a shared vertex. The horizontal segment has length A141285(n) and the vertical segment has length A194446(n). The difference between these two segments gives A194447(n). See also an illustration in the Links section. For the definition of "region" see A206437. Also triangle read by rows: T(n,k) = largest part plus the number of parts of the k-th region of the last section of the set of partitions of n. LINKS Omar E. Pol, Illustration of the seven regions of 5 FORMULA a(n) = A141285(n) + A194446(n). EXAMPLE Written as a triangle begins: 2; 4; 6; 3, 9; 4, 12; 3, 6, 4, 17; 4, 7, 5, 22; 3, 6, 4, 10, 6, 5, 30; 4, 7, 5, 11, 4, 8, 6, 39; 3, 6, 4, 10, 6, 5, 15, 5, 9, 7, 6, 52; CROSSREFS Row n has length A187219(n). Last term of row n is A133041(n). Where record occur give A000041, n >= 1. Cf. A002865, A135010, A182699, A182709, A183152, A194436, A194437, A194438, A194439, A194447, A206437. Sequence in context: A026218 A181473 A181548 * A096665 A064413 A255348 Adjacent sequences:  A207776 A207777 A207778 * A207780 A207781 A207782 KEYWORD nonn,tabf AUTHOR Omar E. Pol, Mar 08 2012 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 June 20 10:13 EDT 2019. Contains 324234 sequences. (Running on oeis4.)