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!)
 A228371 First differences of A228370. Also A001511 and A006519 interleaved. 6
 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 4, 8, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 5, 16, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 4, 8, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 6, 32, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 4, 8, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 5, 16, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 4, 8, 1, 1, 2, 2, 1, 1, 3, 4, 1, 1, 2, 2, 1, 1, 7, 64 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Number of toothpicks added at n-th stage to the toothpick structure (related to integer compositions) of A228370. The equivalent sequence for integer partitions is A220517. LINKS N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS FORMULA a(2n-1) = A001511(n), n >= 1. a(2n) = A006519(n), n >= 1. EXAMPLE Illustration of the structure after 32 stages. The diagram represents the 16 compositions of 5. The k-th horizontal line segment has length A001511(k) equals the largest part of the k-th region. The k-th vertical line segment has length A006519(k) equals the number of parts of the k-th region. .      _ _ _ _ _ 16     _        | 15     _|_      | 14     _  |     | 13     _|_|_    | 12     _    |   | 11     _|_  |   | 10     _  | |   | 9      _|_|_|_  | 8      _      | | 7      _|_    | | 6      _  |   | | 5      _|_|_  | | 4      _    | | | 3      _|_  | | | 2      _  | | | | 1       | | | | | . Written as an irregular triangle the sequence begins: 1,1; 2,2; 1,1,3,4; 1,1,2,2,1,1,4,8; 1,1,2,2,1,1,3,4,1,1,2,2,1,1,5,16; 1,1,2,2,1,1,3,4,1,1,2,2,1,1,4,8,1,1,2,2,1,1,3,4,1,1,2,2,1, 1,6,32; 1,1,2,2,1,1,3,4,1,1,2,2,1,1,4,8,1,1,2,2,1,1,3,4,1,1,2,2,1, 1,5,16,1,1,2,2,1,1,3,4,1,1,2,2,1,1,4,8,1,1,2,2,1,1,3,4,1, 1,2,2,1,1,7,64; ... CROSSREFS Row lengths give 2*A011782. Right border gives A000079. Cf. A001511, A006519, A139250, A139251, A206437, A220517, A228370. Sequence in context: A036064 A090706 A284548 * A176971 A247917 A050935 Adjacent sequences:  A228368 A228369 A228370 * A228372 A228373 A228374 KEYWORD nonn,tabf AUTHOR Omar E. Pol, Aug 21 2013 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 September 26 23:42 EDT 2021. Contains 347673 sequences. (Running on oeis4.)