cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 14 results. Next

A254161 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

512, 3036, 16240, 76832, 348032, 1511152, 6440848, 27128324, 113712184, 475820928, 1990141264, 8325715216, 34837433912, 145798977252, 610246788472, 2554332033248, 10691962218368, 44754714079088, 187335498849168
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Column 1 of A254168

Examples

			Some solutions for n=4
..1..1..1....1..1..1....1..0..1....0..0..1....1..0..1....0..0..1....1..1..1
..0..1..1....0..1..0....0..1..0....1..1..1....1..1..1....1..0..1....1..0..1
..1..1..1....1..0..0....0..1..0....0..1..1....0..0..1....1..0..1....0..0..0
..1..0..1....1..1..1....0..1..0....1..1..1....1..1..0....1..1..0....0..1..0
..0..0..0....0..0..0....0..0..1....0..1..1....1..0..0....0..1..1....0..1..1
..0..1..1....0..0..1....1..0..1....1..1..0....0..0..0....1..0..1....0..1..1
		

Formula

Empirical: a(n) = 8*a(n-1) -15*a(n-2) -25*a(n-3) +102*a(n-4) -5*a(n-5) -350*a(n-6) +624*a(n-7) -426*a(n-8) -760*a(n-9) +2636*a(n-10) -2924*a(n-11) +443*a(n-12) +3356*a(n-13) -5991*a(n-14) +4955*a(n-15) -658*a(n-16) -3981*a(n-17) +5832*a(n-18) -4144*a(n-19) +1408*a(n-20) +1110*a(n-21) -2260*a(n-22) +1682*a(n-23) -1044*a(n-24) +360*a(n-25) +132*a(n-26) -168*a(n-27) +192*a(n-28) -88*a(n-29) +16*a(n-30) -16*a(n-32)

A254160 Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

512, 23660, 1553720, 191190272, 47722312832, 24789263869340, 27196332026497280, 62670987439073417464, 306649596390478314360688, 3185451673330281289722851308, 70105876620029167895782015020688
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Diagonal of A254168

Examples

			Some solutions for n=2
..1..0..0..1....0..0..1..1....0..0..1..1....1..1..1..0....1..1..0..1
..0..1..1..0....0..1..1..1....0..1..1..0....1..0..1..1....1..1..0..1
..1..0..0..0....1..1..1..0....1..1..1..1....1..1..1..0....1..1..1..1
..0..0..0..1....0..0..0..1....1..0..1..0....1..0..1..0....1..0..0..1
		

A254162 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

3036, 23660, 164684, 1014816, 6159516, 36538548, 217539476, 1297596948, 7773465716, 46667868056, 280531517204, 1687013713288, 10146685732748, 61029056245012, 367072960100780, 2207831773493064, 13279454483043468
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Column 2 of A254168

Examples

			Some solutions for n=3
..0..0..1..0....0..1..1..0....0..0..1..1....0..0..1..1....0..0..0..1
..1..0..1..0....0..1..0..1....1..0..0..0....0..0..1..1....1..1..1..1
..0..1..0..0....1..0..0..0....1..1..1..1....1..0..0..1....1..0..0..0
..1..0..0..0....1..0..1..0....1..0..0..1....0..0..0..0....1..1..1..0
..1..1..0..0....0..0..0..1....0..0..0..1....1..0..0..1....0..0..1..1
		

Formula

Empirical: a(n) = 9*a(n-1) -15*a(n-2) -35*a(n-3) +120*a(n-4) -94*a(n-5) -141*a(n-6) +965*a(n-7) -263*a(n-8) -13931*a(n-9) +36104*a(n-10) -32494*a(n-11) +2541*a(n-12) +15355*a(n-13) -2033*a(n-14) +9491*a(n-15) -68712*a(n-16) +106622*a(n-17) -75887*a(n-18) +25367*a(n-19) -33645*a(n-20) +72871*a(n-21) -56744*a(n-22) -62522*a(n-23) +205648*a(n-24) -243552*a(n-25) +197908*a(n-26) -168492*a(n-27) +219664*a(n-28) -125816*a(n-29) -184896*a(n-30) +410240*a(n-31) -367264*a(n-32) +183040*a(n-33) -175488*a(n-34) +175744*a(n-35) +44544*a(n-36) -273920*a(n-37) +287232*a(n-38) -115712*a(n-39) +45056*a(n-40) -61440*a(n-41) +8192*a(n-42) +65536*a(n-43) -81920*a(n-44) +32768*a(n-45) for n>53

A254163 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

16240, 164408, 1553720, 13514192, 119471400, 1054310240, 9378850720, 83642043104, 747838723984, 6692350328688, 59911130123536, 536370198043600, 4802059524173712, 42992172686208464, 384902922582518096
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Column 3 of A254168

Examples

			Some solutions for n=2
..0..1..1..0..0....0..0..1..0..0....0..1..1..1..0....0..0..0..0..0
..0..1..1..1..0....1..1..1..0..1....0..0..1..1..0....1..0..1..0..1
..1..1..0..0..1....0..1..0..0..1....1..1..1..1..1....0..1..0..0..1
..0..0..0..0..0....1..1..0..0..0....0..0..0..0..0....0..1..0..1..0
		

Formula

Empirical recurrence of order 66 (see link above)

A254164 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

76832, 1078032, 15016048, 191190272, 2437141776, 31143715804, 399587109728, 5135066242396, 66055387860800, 850097997207468, 10942233760318624, 140853914363177740, 1813183596341937088, 23340859396990897980
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Column 4 of A254168

Examples

			Some solutions for n=1
..1..1..1..0..0..0....0..0..0..0..0..0....0..0..1..0..1..0....1..0..0..0..0..0
..1..0..0..0..0..0....0..0..0..1..1..0....1..1..0..1..0..0....0..1..1..0..1..0
..1..0..1..1..1..1....1..1..0..0..0..0....1..0..0..0..0..0....1..0..0..0..1..0
		

A254165 Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

348032, 6831024, 139009432, 2589374656, 47722312832, 886761490936, 16524431408400, 307997125181376, 5746900683155904, 107280164731745488, 2002796615748790976, 37391100588451055760, 698081587720476379072
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Column 5 of A254168

Examples

			Some solutions for n=1
..0..0..1..1..0..1..0....0..0..1..1..1..0..0....0..0..1..1..0..0..0
..1..1..1..1..0..1..1....0..1..0..0..1..1..0....0..0..0..0..0..1..0
..1..1..1..0..0..1..0....1..0..1..0..0..0..0....1..1..0..1..0..0..0
		

A254166 Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

1511152, 41678024, 1263003480, 34167243308, 910592737776, 24789263869340, 676750215074144, 18480715303252452, 505390499990828432, 13826872992791323340, 378264415847818916192, 10348392913354433560800
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Column 6 of A254168

Examples

			Some solutions for n=1
..0..0..0..1..0..0..1..1....0..0..0..1..0..1..0..1....0..0..0..0..1..1..1..0
..1..1..1..0..1..1..0..1....0..0..0..0..1..1..0..0....0..0..0..1..0..1..1..0
..1..0..0..1..0..0..0..0....1..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
		

A254167 Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

6440848, 251430924, 11377995944, 443654425392, 17154177879840, 684072377169008, 27196332026497280, 1080962116495110480, 43035049375564396528, 1714089719759716209888, 68251517989933263549920
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Column 7 of A254168

Examples

			Some solutions for n=1
..0..0..0..0..1..0..1..1..0....0..0..0..0..1..0..1..1..0
..1..0..0..1..0..1..1..0..0....0..1..1..0..0..1..0..1..1
..1..1..0..0..0..0..0..1..1....1..1..1..1..1..0..0..0..1
		

A254169 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

3036, 23660, 164408, 1078032, 6831024, 41678024, 251430924, 1509107876, 9050890564, 54337026684, 326446356700, 1962472283332, 11801023646284, 70973760221804, 426874983655444, 2567503678416152, 15442742976914288
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Row 2 of A254168

Examples

			Some solutions for n=3
..0..0..0..1..0....0..1..1..1..1....0..0..1..1..0....0..0..0..0..0
..1..0..1..0..0....1..1..0..0..0....1..0..1..1..1....1..1..1..1..1
..1..1..0..0..0....1..0..0..1..0....1..0..0..0..0....1..1..1..0..0
..0..1..1..1..1....0..1..0..1..1....1..0..0..1..1....0..1..1..0..1
		

Formula

Empirical: a(n) = 9*a(n-1) -14*a(n-2) -44*a(n-3) +135*a(n-4) -59*a(n-5) -261*a(n-6) +1059*a(n-7) -122*a(n-8) -14896*a(n-9) +36367*a(n-10) -18563*a(n-11) -33563*a(n-12) +47849*a(n-13) -4574*a(n-14) -5864*a(n-15) -66679*a(n-16) +97131*a(n-17) -7175*a(n-18) -81255*a(n-19) +42242*a(n-20) +47504*a(n-21) -23099*a(n-22) -135393*a(n-23) +262392*a(n-24) -181030*a(n-25) -7740*a(n-26) +75060*a(n-27) +21756*a(n-28) +42676*a(n-29) -404560*a(n-30) +536056*a(n-31) -182368*a(n-32) -227200*a(n-33) +191776*a(n-34) -7296*a(n-35) +220032*a(n-36) -449664*a(n-37) +242688*a(n-38) +158208*a(n-39) -242176*a(n-40) +54272*a(n-41) -36864*a(n-42) +126976*a(n-43) -90112*a(n-44) -32768*a(n-45) +81920*a(n-46) -32768*a(n-47) for n>61

A254170 Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

Original entry on oeis.org

16240, 164684, 1553720, 15016048, 139009432, 1263003480, 11377995944, 101942555352, 912087664152, 8157975853920, 72998908371792, 653365654458064, 5848836175265568, 52361520959776576, 468779045407612304
Offset: 1

Views

Author

R. H. Hardin, Jan 26 2015

Keywords

Comments

Row 3 of A254168

Examples

			Some solutions for n=2
..0..0..0..0....0..0..1..1....0..1..1..1....1..1..1..0....0..1..1..0
..0..1..1..1....1..1..1..1....1..1..1..1....1..0..1..1....1..0..0..0
..1..1..0..0....1..1..0..0....1..1..1..0....1..1..0..0....0..0..1..0
..0..0..0..1....0..0..0..1....0..1..0..0....0..0..0..0....0..0..1..0
..1..0..0..0....0..0..0..0....1..0..0..1....1..1..1..1....0..0..1..1
		

Formula

Empirical recurrence of order 73 (see link above)
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