A069343 -id:A069343 - cp's OEIS frontend

A069333 Number of 11 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

1, 9800, 37327007, 101161197895, 232909647253690, 488256657363269300, 963147644297772022870, 1820486395967688826354303, 3334133239588212397398261473, 5961170413774886320235399363515, 10460300685270373054347943215411456, 18085468170671030045687927149819479504

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 12 X n A069334, 13 X n A069335, 14 X n A069336, 15 X n A069337, 16 X n A069338, 17 X n A069339, 18 X n A069340, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(12) from Sean A. Irvine, Apr 27 2024

A069334 Number of 12 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 23660, 197404203, 1131456031256, 5423397612311731, 23483738804219826986, 95261720343073832781620, 369211160728496631061072520, 1383615906056315517856514817504, 5053163560738707006885020833252029, 18085468170671030045687927149819479504

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 13 X n A069335, 14 X n A069336, 15 X n A069337, 16 X n A069338, 17 X n A069339, 18 X n A069340, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(11) from Sean A. Irvine, Apr 27 2024

A069335 Number of 13 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 57121, 1043751584, 12643706576681, 126017939209370356, 1125283073890577118094, 9370213923827917022436855, 74336348859792978822695533158, 569069897400777230243560762294416, 4238919196076677072267006057045464865, 30902027517838776937964167308887338619805

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 12 X n A069334, 14 X n A069336, 15 X n A069337, 16 X n A069338, 17 X n A069339, 18 X n A069340, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(11) from Sean A. Irvine, Apr 28 2024

A069336 Number of 14 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 137903, 5518106750, 141214773950750, 2924071505958808678, 53779936199829106443992, 917968752799614564923238137, 14884525123004189113290707573130, 232434987260581625545547524846144926, 3526571954425676876273500130967936161612

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 12 X n A069334, 13 X n A069335, 15 X n A069337, 16 X n A069338, 17 X n A069339, 18 X n A069340, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(10) from Sean A. Irvine, Apr 28 2024

A069337 Number of 15 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 332928, 29171471659, 1576695869980497, 67786971099219351975, 2565563432103773559215466, 89664326393994299098755897107, 2967912283785413275946102921590796, 94425041381072960927161485578621702985, 2914679293396477655343534207456817389836472

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 12 X n A069334, 13 X n A069335, 14 X n A069336, 16 X n A069338, 17 X n A069339, 18 X n A069340, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(10) from Sean A. Irvine, Apr 28 2024

A069338 Number of 16 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 803760, 154210451661, 17600838146781308, 1570519781573431498844, 122232489371711586485777202, 8739064773952359132428279911493, 589905313005549358086281643079339087, 38197422697847171708880659463529085375174, 2396319077130644606331163832632227674356884219

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 12 X n A069334, 13 X n A069335, 14 X n A069336, 15 X n A069337, 17 X n A069339, 18 X n A069340, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(10) from Sean A. Irvine, Apr 28 2024

A069339 Number of 17 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 1940449, 815197197636, 196457931325141165, 36372152593010317662845, 5818327780447717536274778137, 850379363772262706448823961065710, 116965045557462347093874185317348234955, 15400621481550701604975389442540432375789212

Offset: 1

R. H. Hardin, Mar 16 2002

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 12 X n A069334, 13 X n A069335, 14 X n A069336, 15 X n A069337, 16 X n A069338, 18 X n A069340, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(9) from Sean A. Irvine, Apr 28 2024

A069340 Number of 18 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 4684659, 4309313949364, 2192685751594010696, 842135117177233838318221, 276779468917310425392340761357, 82650556110091137942716277468309260, 23148397411303556672474237800571851799252, 6193097960464507527053208548973296715713058621

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 12 X n A069334, 13 X n A069335, 14 X n A069336, 15 X n A069337, 16 X n A069338, 17 X n A069339, 19 X n A069341, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(6)-a(10) from Sean A. Irvine, Apr 28 2024

A069341 Number of 19 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 11309768, 22779900825195, 24471786016855404727, 19494870504116920632360116, 13160595194449992172457391361101, 8025991217666841006376543207614110979, 4574735745210954097724726033484092793843149, 2485328828679106654042733426185318122603041421600

Offset: 1

R. H. Hardin, Mar 16 2002

nonn

Cf. 2 X n A048739, 3 X n A069325, 4 X n A069326, 5 X n A069327, 6 X n A069328, 7 X n A069329, 8 X n A069330, 9 X n A069331, 10 X n A069332, 11 X n A069333, 12 X n A069334, 13 X n A069335, 14 X n A069336, 15 X n A069337, 16 X n A069338, 17 X n A069339, 18 X n A069340, 20 X n A069342, n X n A069343, n X n symmetric A069344.

a(5)-a(9) from Sean A. Irvine, Apr 28 2024

A359575 Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with a path of adjacent 1's from upper right corner to lower left corner.

Original entry on oeis.org

1, 1, 1, 1, 3, 1, 1, 8, 8, 1, 1, 20, 51, 20, 1, 1, 49, 295, 295, 49, 1, 1, 119, 1632, 3828, 1632, 119, 1, 1, 288, 8830, 46557, 46557, 8830, 288, 1, 1, 696, 47239, 546286, 1225194, 546286, 47239, 696, 1, 1, 1681, 251261, 6279393, 30754544, 30754544, 6279393, 251261, 1681, 1

Offset: 1

Andrew Howroyd, Jan 06 2023

			Array begins:
================================================================
m\n| 1   2     3       4         5           6             7
---+------------------------------------------------------------
1  | 1   1     1       1         1           1             1 ...
2  | 1   3     8      20        49         119           288 ...
3  | 1   8    51     295      1632        8830         47239 ...
4  | 1  20   295    3828     46557      546286       6279393 ...
5  | 1  49  1632   46557   1225194    30754544     749866185 ...
6  | 1 119  8830  546286  30754544  1636193228   83949041929 ...
7  | 1 288 47239 6279393 749866185 83949041929 9009490924794 ...
  ...

Main diagonal is A069343.
Rows 1..20 are A000012, A048739(n-1), A069325, A069326, A069327-A069342.
Cf. A359573, A359576.

T(m,n) = T(n,m).

cp's OEIS Frontend

A069333 Number of 11 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

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A069334 Number of 12 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

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A069335 Number of 13 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

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A069336 Number of 14 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

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A069337 Number of 15 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

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A069338 Number of 16 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

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A069339 Number of 17 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Views

Author

Keywords

Crossrefs

Extensions

A069340 Number of 18 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Views

Author

Keywords

Crossrefs

Extensions

A069341 Number of 19 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.

Views

Author

Keywords

Crossrefs

Extensions

A359575 Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with a path of adjacent 1's from upper right corner to lower left corner.

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