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A298090 Number of nX5 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. 1
3, 23, 21, 53, 45, 87, 150, 216, 249, 423, 711, 980, 1560, 2431, 3368, 5598, 8655, 12707, 20146, 30825, 46191, 71375, 111256, 169061, 260564, 403605, 607501, 943194, 1456420, 2221340, 3434014, 5274975, 8066460, 12409799, 19138048, 29352378 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A298093.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-3) -2*a(n-6) -8*a(n-7) -14*a(n-8) -11*a(n-9) -9*a(n-10) +26*a(n-11) +48*a(n-12) +42*a(n-13) +51*a(n-14) -62*a(n-15) -67*a(n-16) -56*a(n-17) -57*a(n-18) +123*a(n-19) +120*a(n-20) +64*a(n-21) +143*a(n-22) -555*a(n-23) -261*a(n-24) -584*a(n-25) -76*a(n-26) +782*a(n-27) +657*a(n-28) +992*a(n-29) +34*a(n-30) -983*a(n-31) -776*a(n-32) -1202*a(n-33) +107*a(n-34) +1815*a(n-35) +1770*a(n-36) +3202*a(n-37) -178*a(n-38) -1628*a(n-39) -3922*a(n-40) -3738*a(n-41) -1508*a(n-42) +1903*a(n-43) +4277*a(n-44) +4438*a(n-45) +350*a(n-46) -3637*a(n-47) -7078*a(n-48) -5333*a(n-49) -3510*a(n-50) +1704*a(n-51) +6292*a(n-52) +8329*a(n-53) +9238*a(n-54) +3604*a(n-55) -3468*a(n-56) -6364*a(n-57) -9508*a(n-58) -2854*a(n-59) +3284*a(n-60) +6038*a(n-61) +7880*a(n-62) -1292*a(n-63) -5136*a(n-64) -5336*a(n-65) -3836*a(n-66) +1472*a(n-67) +148*a(n-68) +264*a(n-69) +2704*a(n-70) +2840*a(n-71) +3128*a(n-72) -752*a(n-73) -3384*a(n-74) -2624*a(n-75) -672*a(n-76) +1232*a(n-77) +1360*a(n-78) +464*a(n-79) -128*a(n-80) -192*a(n-81) -128*a(n-82) for n>86

EXAMPLE

Some solutions for n=7

..0..1..0..1..0. .0..0..0..1..0. .0..1..0..1..0. .0..0..1..1..1

..1..0..1..0..1. .1..1..1..0..1. .0..0..1..0..0. .1..1..0..0..0

..0..1..0..1..0. .0..0..0..0..1. .1..1..0..1..1. .0..0..0..1..0

..0..1..1..1..0. .1..1..1..0..0. .0..1..1..1..0. .1..1..0..1..1

..0..1..1..1..0. .0..0..0..1..1. .1..0..0..0..1. .0..1..0..0..0

..0..1..0..1..0. .1..1..1..1..0. .0..0..1..0..0. .1..0..1..0..1

..1..1..0..1..1. .0..0..0..1..0. .1..1..0..1..1. .0..0..1..0..1

CROSSREFS

Cf. A298093.

Sequence in context: A157819 A122902 A297855 * A298052 A298885 A298657

Adjacent sequences:  A298087 A298088 A298089 * A298091 A298092 A298093

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 12 2018

STATUS

approved

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Last modified February 17 02:22 EST 2020. Contains 331976 sequences. (Running on oeis4.)