The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A286513 Array read by antidiagonals: T(m,n) = number of independent sets in the cylinder graph C_m X P_n. 11
 1, 1, 3, 1, 7, 4, 1, 17, 13, 7, 1, 41, 43, 35, 11, 1, 99, 142, 181, 81, 18, 1, 239, 469, 933, 621, 199, 29, 1, 577, 1549, 4811, 4741, 2309, 477, 47, 1, 1393, 5116, 24807, 36211, 26660, 8303, 1155, 76, 1, 3363, 16897, 127913, 276561, 307983, 143697, 30277, 2785, 123 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Equivalently, the number of vertex covers in the cylinder graph C_m X P_n. LINKS Andrew Howroyd, Table of n, a(n) for n = 1..435 Eric Weisstein's World of Mathematics, Independent Vertex Set Wikipedia, Independent set EXAMPLE Table starts: ============================================================= m\n| 1 2 3 4 5 6 7 ---|--------------------------------------------------------- 1 | 1 1 1 1 1 1 1 ... 2 | 3 7 17 41 99 239 577 ... 3 | 4 13 43 142 469 1549 5116 ... 4 | 7 35 181 933 4811 24807 127913 ... 5 | 11 81 621 4741 36211 276561 2112241 ... 6 | 18 199 2309 26660 307983 3557711 41097664 ... 7 | 29 477 8303 143697 2488431 43089985 746156517 ... 8 | 47 1155 30277 788453 20546803 535404487 13951571713 ... ... CROSSREFS Rows 3-8 are A003688(n+1), A051926, A181989, A181961, A182014, A182019. Columns 1-4 are A000032, A051927, A050400, A050401. Main diagonal is A212270. Cf. A089934 (P_m X P_n), A027683, A286514. Sequence in context: A275599 A210038 A319076 * A193970 A274510 A158841 Adjacent sequences: A286510 A286511 A286512 * A286514 A286515 A286516 KEYWORD nonn,tabl AUTHOR Andrew Howroyd, May 10 2017 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 17 09:00 EDT 2024. Contains 374363 sequences. (Running on oeis4.)