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 1-6 of 6 results.

A301664 Number of nX3 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 10, 30, 118, 407, 1498, 5289, 19184, 68832, 247756, 890523, 3203084, 11517675, 41422044, 148957388, 535680672, 1926390947, 6927645818, 24912983963, 89591402294, 322185988646, 1158636174394, 4166654317703, 14984004032116
Offset: 1

Views

Author

R. H. Hardin, Mar 25 2018

Keywords

Comments

Column 3 of A301669.

Examples

			Some solutions for n=5
..0..0..0. .0..1..1. .0..0..1. .0..0..0. .0..0..0. .0..0..1. .0..0..1
..1..1..1. .0..0..0. .0..1..1. .0..1..0. .0..1..0. .1..1..1. .1..1..1
..1..0..1. .1..1..0. .1..1..0. .0..1..0. .0..1..1. .1..0..0. .1..0..0
..0..0..1. .1..0..1. .0..0..0. .1..1..0. .1..0..0. .1..1..0. .1..0..1
..1..1..1. .0..0..1. .0..1..1. .0..0..0. .1..1..0. .0..0..0. .1..0..1
		

Crossrefs

Cf. A301669.

Formula

Empirical: a(n) = 2*a(n-1) +6*a(n-2) -2*a(n-4) +2*a(n-5) -9*a(n-6) -50*a(n-7) -37*a(n-8) +34*a(n-9) +43*a(n-10) -16*a(n-11) +15*a(n-12) +18*a(n-13) -7*a(n-14) -2*a(n-16) +4*a(n-17) -6*a(n-18) +a(n-20)

A301665 Number of nX4 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

2, 23, 118, 564, 2793, 14394, 71564, 359659, 1808256, 9076074, 45607585, 229124216, 1151098126, 5783024867, 29053401570, 145961054556, 733293062029, 3683989357618, 18507978344520, 92982190589347, 467132961135876
Offset: 1

Views

Author

R. H. Hardin, Mar 25 2018

Keywords

Comments

Column 4 of A301669.

Examples

			Some solutions for n=5
..0..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..0. .0..0..0..1
..0..1..0..1. .0..1..1..1. .1..1..1..0. .0..1..1..0. .1..1..0..1
..0..0..1..1. .1..1..0..1. .0..0..0..1. .1..1..0..1. .0..1..1..1
..1..0..0..0. .0..0..0..0. .0..1..1..1. .0..0..0..1. .0..0..0..0
..1..1..1..1. .1..1..0..0. .0..1..0..0. .0..1..1..1. .1..1..1..0
		

Crossrefs

Cf. A301669.

Formula

Empirical: a(n) = 3*a(n-1) +15*a(n-2) -6*a(n-3) -91*a(n-4) -75*a(n-5) +327*a(n-6) +398*a(n-7) -880*a(n-8) -1862*a(n-9) -823*a(n-10) +79*a(n-11) +5465*a(n-12) +26064*a(n-13) +45144*a(n-14) -31786*a(n-15) -99377*a(n-16) -89293*a(n-17) +55985*a(n-18) -111034*a(n-19) -138395*a(n-20) +141455*a(n-21) +486139*a(n-22) +96486*a(n-23) -536176*a(n-24) +16636*a(n-25) +98232*a(n-26) +573306*a(n-27) -822404*a(n-28) +47656*a(n-29) +698032*a(n-30) +48550*a(n-31) -264890*a(n-32) -1009366*a(n-33) +282680*a(n-34) +950924*a(n-35) -62788*a(n-36) -370362*a(n-37) +6650*a(n-38) -1020118*a(n-39) +1292800*a(n-40) -896852*a(n-41) +1410204*a(n-42) -572266*a(n-43) -344184*a(n-44) -135916*a(n-45) -198212*a(n-46) +723258*a(n-47) -188503*a(n-48) -34287*a(n-49) -130327*a(n-50) +23396*a(n-51) +62935*a(n-52) -53445*a(n-53) +2017*a(n-54) +6884*a(n-55) +16010*a(n-56) +6076*a(n-57) -4473*a(n-58) -7867*a(n-59) -461*a(n-60) +2650*a(n-61) +830*a(n-62) -536*a(n-63) -391*a(n-64) +73*a(n-65) +91*a(n-66) +12*a(n-67) -13*a(n-68) -3*a(n-69) +a(n-70)

A301666 Number of nX5 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 61, 407, 2793, 21224, 146841, 1073621, 7703565, 55506215, 399555430, 2875870497, 20706418377, 149059329261, 1073124611823, 7725565402834, 55617663607353, 400401309675815, 2882556650714509, 20752023117855145
Offset: 1

Views

Author

R. H. Hardin, Mar 25 2018

Keywords

Comments

Column 5 of A301669.

Examples

			Some solutions for n=5
..0..1..1..0..1. .0..0..0..1..1. .0..0..1..1..0. .0..0..1..1..1
..0..0..1..0..1. .0..1..1..1..1. .1..1..1..0..0. .1..1..0..0..0
..1..0..1..0..0. .0..1..0..1..0. .0..0..0..1..1. .1..0..0..1..0
..1..0..0..1..1. .0..1..0..1..0. .0..1..1..1..0. .1..0..1..1..0
..1..1..0..1..1. .0..0..0..1..1. .0..1..0..0..0. .1..0..1..0..0
		

Crossrefs

Cf. A301669.

A301667 Number of nX6 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 162, 1498, 14394, 146841, 1537496, 15498505, 159497778, 1631501428, 16710326446, 171088097185, 1752145711420, 17940714321741, 183715971451846, 1881222389643034, 19263608263871012, 197257711048154849
Offset: 1

Views

Author

R. H. Hardin, Mar 25 2018

Keywords

Comments

Column 6 of A301669.

Examples

			Some solutions for n=5
..0..1..1..0..1..1. .0..1..1..1..0..0. .0..0..0..1..1..1. .0..1..1..1..0..0
..0..1..0..0..0..1. .0..1..0..0..1..0. .0..1..0..1..0..0. .0..1..0..0..0..0
..1..1..0..0..0..1. .0..1..0..1..1..1. .1..1..0..0..1..0. .0..0..1..1..0..1
..0..0..1..0..1..0. .1..0..0..1..1..0. .1..0..1..0..1..0. .1..0..1..1..0..1
..1..1..1..0..1..0. .1..1..1..0..0..0. .1..0..1..0..0..0. .1..0..0..0..1..1
		

Crossrefs

Cf. A301669.

A301668 Number of nX7 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 421, 5289, 71564, 1073621, 15498505, 225780260, 3307561389, 48158543096, 703127937300, 10259186324647, 149696614458243, 2184338617470806, 31873058777880129, 465081902561442941, 6786326832276152384
Offset: 1

Views

Author

R. H. Hardin, Mar 25 2018

Keywords

Comments

Column 7 of A301669.

Examples

			Some solutions for n=5
..0..0..0..1..1..0..0. .0..0..1..1..0..0..1. .0..0..0..1..1..0..1
..0..1..1..0..0..1..1. .0..1..0..0..1..0..1. .0..1..0..0..1..0..1
..0..0..1..0..1..0..1. .0..1..0..1..1..0..1. .0..1..1..0..1..1..0
..1..0..1..0..1..0..1. .0..1..0..1..0..0..0. .0..0..0..1..0..1..0
..1..1..0..0..1..0..1. .0..1..0..1..1..0..0. .1..1..0..1..0..1..1
		

Crossrefs

Cf. A301669.

A301663 Number of n X n 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 3, 30, 564, 21224, 1537496, 225780260, 68862687289, 42474080549252, 53316494203981492
Offset: 1

Views

Author

R. H. Hardin, Mar 25 2018

Keywords

Comments

Diagonal of A301669.

Examples

			Some solutions for n=5
..0..1..1..0..0. .0..0..1..1..0. .0..0..1..0..1. .0..0..1..1..1
..0..1..0..1..1. .1..1..0..0..0. .1..0..1..0..1. .0..1..0..0..1
..1..1..0..1..0. .1..1..1..1..1. .1..1..1..0..1. .1..1..0..1..1
..1..0..1..0..0. .0..1..0..0..1. .0..0..0..1..1. .0..0..0..0..0
..0..0..1..1..1. .0..0..0..1..1. .0..1..1..0..0. .1..1..0..1..1
		

Crossrefs

Cf. A301669.
Showing 1-6 of 6 results.