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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 a m X n grid with king moves allowed. 7
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: A022168 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 January 16 04:40 EST 2021. Contains 340195 sequences. (Running on oeis4.)