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Revision History for A218811

(Underlined text is an addition; strikethrough text is a deletion.)

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A218811 Hilltop maps: number of 2Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 2Xn array
(history; published version)
#4 by R. H. Hardin at Tue Nov 06 17:44:00 EST 2012
STATUS

editing

approved

#3 by R. H. Hardin at Tue Nov 06 17:43:56 EST 2012
LINKS

R. H. Hardin, <a href="/A218811/b218811.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Tue Nov 06 17:43:41 EST 2012
NAME

allocated for R. H. Hardin

Hilltop maps: number of 2Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 2Xn array

DATA

1, 15, 61, 249, 993, 3969, 15871, 63467, 253797, 1014889, 4058377, 16228793, 64896323, 259509919, 1037738269, 4149747805, 16594171517, 66357412857, 265352580967, 1061102131539, 4243176114789, 16967776245057, 67851397847697

OFFSET

1,2

COMMENTS

Row 2 of A218810

FORMULA

Empirical: a(n) = 3*a(n-1) +3*a(n-2) +3*a(n-3) +3*a(n-4) +3*a(n-5) +a(n-6) +5*a(n-7) +2*a(n-8) +2*a(n-9) +2*a(n-10) +2*a(n-11) +a(n-12) +a(n-13) -a(n-14) -a(n-15) -a(n-16) -a(n-17) -a(n-18) -a(n-19) for n>20

EXAMPLE

Some solutions for n=3

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Nov 06 2012

STATUS

approved

editing

#1 by R. H. Hardin at Tue Nov 06 17:36:26 EST 2012
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved

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Last modified August 18 20:50 EDT 2024. Contains 375284 sequences. (Running on oeis4.)