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!)
 A298362 Number of tight m X n pavings as defined in Knuth's A285357 written as triangle T(m,n), m >= 1, 1 <= n <= m. 3
 1, 1, 4, 1, 11, 64, 1, 26, 282, 2072, 1, 57, 1071, 12279, 106738, 1, 120, 3729, 63858, 781458, 7743880, 1, 247, 12310, 305464, 5111986, 66679398, 735490024, 1, 502, 39296, 1382648, 30980370, 521083252, 7216122740, 87138728592, 1, 1013, 122773, 6029325, 178047831, 3802292847, 65106398091 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS See A285357. For m < n, one has A285357(m,n) = T(n,m). Thus, row and column n of A285357 start with the n terms of row n, then go on downwards in column n: e.g., the full row/column 2 is (1, 4, 11, 26, ...) = A000295 (without initial 0); row/column 3 is (1, 11, 64, 282, 1071, ...) = A285361. - M. F. Hasler, Jan 20 2018 LINKS Konstantin Vladimirov, Generating things, Program naivepavings.cc to enumerate all tight pavings. EXAMPLE The triangle starts: ================================================================================ m \ n| 1    2      3        4         5          6           7           8     9 -----|-------------------------------------------------------------------------- .  1 | 1 .  2 | 1    4 .  3 | 1   11     64 .  4 | 1   26    282     2072 .  5 | 1   57   1071    12279    106738 .  6 | 1  120   3729    63858    781458    7743880 .  7 | 1  247  12310   305464   5111986   66679398   735490024 .  8 | 1  502  39296  1382648  30980370  521083252  7216122740 87138728592 .  9 | 1 1013 122773  6029325 178047831 3802292847 65106398091      ?          ? . 10 | 1 2036 378279 25628762 985621119      ?          ... PROG See Vladimirov link. CROSSREFS Cf. A000295, A285357, A285361. Sequence in context: A181690 A109088 A060923 * A143952 A097877 A225770 Adjacent sequences:  A298359 A298360 A298361 * A298363 A298364 A298365 KEYWORD nonn,tabl AUTHOR Hugo Pfoertner, Jan 17 2018 EXTENSIONS Added a number of values in the example table, Denis Roegel, Feb 24 2018 Extended using data from Denis Roegel by Hugo Pfoertner, Mar 12 2018 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 February 21 05:23 EST 2020. Contains 332086 sequences. (Running on oeis4.)