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A302632 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 25, 25, 65, 257, 719, 2303, 7695, 24205, 77827, 251835, 806047, 2591353, 8340665, 26787773, 86104127, 276842555, 889744085, 2859889913, 9193087135, 29549125343, 94980382961, 305300890107, 981337384507, 3154346109841, 10139134067253 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A302635.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +a(n-2) +24*a(n-3) +2*a(n-4) +6*a(n-5) -175*a(n-6) -67*a(n-7) -79*a(n-8) +599*a(n-9) +219*a(n-10) +190*a(n-11) -1186*a(n-12) -174*a(n-13) -148*a(n-14) +1508*a(n-15) -244*a(n-16) +36*a(n-17) -1276*a(n-18) +616*a(n-19) +744*a(n-21) -640*a(n-22) +32*a(n-23) -272*a(n-24) +384*a(n-25) -64*a(n-26) +32*a(n-27) -128*a(n-28) +64*a(n-29) for n>32
EXAMPLE
Some solutions for n=5
..0..1..0..0..1. .0..1..1..0..1. .0..1..1..0..0. .0..1..0..1..0
..1..1..0..1..0. .1..0..1..0..0. .0..1..0..1..0. .0..0..0..1..0
..0..1..0..1..0. .1..0..1..0..1. .1..1..1..1..1. .0..1..0..1..0
..1..0..1..1..0. .1..0..1..0..1. .0..1..1..1..0. .0..1..0..1..0
..1..0..0..0..0. .1..0..0..1..1. .0..1..0..1..0. .0..1..0..0..1
CROSSREFS
Cf. A302635.
Sequence in context: A122984 A254341 A188477 * A045860 A081504 A030796
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 10 2018
STATUS
approved

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Last modified July 21 22:43 EDT 2024. Contains 374478 sequences. (Running on oeis4.)