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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A216722 Triangle read by rows: number of circular permutations of [1..n] with k modular progressions of rise 1, distance 1 and length 3 (n >= 3, 0 <= k <= n). 4
 1, 0, 0, 1, 5, 0, 0, 0, 1, 18, 5, 0, 0, 0, 1, 95, 18, 6, 0, 0, 0, 1, 600, 84, 28, 7, 0, 0, 0, 1, 4307, 568, 116, 40, 8, 0, 0, 0, 1, 35168, 4122, 810, 156, 54, 9, 0, 0, 0, 1, 321609, 33910, 5975, 1100, 205, 70, 10, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,5 REFERENCES Wayne M. Dymacek, Isaac Lambert and Kyle Parsons, Arithmetic Progressions in Permutations, http://math.ku.edu/~ilambert/CN.pdf, 2012. LINKS EXAMPLE Triangle begins:        1,     0,    0,    1;        5,     0,    0,    0,   1;       18,     5,    0,    0,   0,  1;       95,    18,    6,    0,   0,  0,  1;      600,    84,   28,    7,   0,  0,  0, 1;     4307,   568,  116,   40,   8,  0,  0, 0, 1;    35168,  4122,  810,  156,  54,  9,  0, 0, 0, 1;   321609, 33910, 5975, 1100, 205, 70, 10, 0, 0, 0, 1;   ... CROSSREFS Columns 1..2 are A165962, A216723. Row sums are A000142(n-1). Cf. A216716, A216718, A216719, A165962. Sequence in context: A325817 A325967 A229656 * A036297 A336530 A087935 Adjacent sequences:  A216719 A216720 A216721 * A216723 A216724 A216725 KEYWORD nonn,tabf AUTHOR N. J. A. Sloane, Sep 15 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 November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)