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 A329118 Array read by antidiagonals: T(m, n) is the number of simple paths from corner to diagonally opposite corner on an m X n grid with king moves allowed. 9
 1, 1, 1, 1, 5, 1, 1, 24, 24, 1, 1, 116, 235, 116, 1, 1, 560, 2922, 2922, 560, 1, 1, 2704, 38169, 96371, 38169, 2704, 1, 1, 13056, 494596, 3764367, 3764367, 494596, 13056, 1, 1, 63040, 6375379, 150610151, 447544629, 150610151, 6375379, 63040, 1, 1, 304384, 82191766, 5898799685, 56182569218, 56182569218, 5898799685, 82191766, 304384, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..231 EXAMPLE Array begins: =================================================================== m\n | 1 2 3 4 5 6 ----+-------------------------------------------------------------- 1 | 1 1 1 1 1 1 ... 2 | 1 5 24 116 560 2704 ... 3 | 1 24 235 2922 38169 494596 ... 4 | 1 116 2922 96371 3764367 150610151 ... 5 | 1 560 38169 3764367 447544629 56182569218 ... 6 | 1 2704 494596 150610151 56182569218 22132498074021 ... 7 | 1 13056 6375379 5898799685 6972159602221 8656506756327178 ... ... CROSSREFS Rows 2..6 are A086347, A193168, A193170, A193171, A193172. Main diagonal is A140518. Cf. A158651, A272445, A288033. Sequence in context: A359993 A157212 A156600 * A152572 A203346 A176793 Adjacent sequences: A329115 A329116 A329117 * A329119 A329120 A329121 KEYWORD nonn,walk,tabl AUTHOR Andrew Howroyd, Nov 05 2019 STATUS approved

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Last modified April 18 10:28 EDT 2024. Contains 371779 sequences. (Running on oeis4.)