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Revision History for A255621

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Number of length n+7 0..2 arrays with at most two downsteps in every 7 consecutive neighbor pairs
(history; published version)

#4 by R. H. Hardin at Sat Feb 28 11:37:13 EST 2015

STATUS

editing

approved

#3 by R. H. Hardin at Sat Feb 28 11:37:10 EST 2015

LINKS

R. H. Hardin, <a href="/A255621/b255621.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Sat Feb 28 11:36:55 EST 2015

NAME

allocated for R. H. Hardin

Number of length n+7 0..2 arrays with at most two downsteps in every 7 consecutive neighbor pairs

DATA

3834, 9186, 23298, 60390, 156563, 405687, 1047141, 2656032, 6682971, 16925280, 43249522, 110788455, 283416570, 724728391, 1851244551, 4719321474, 12020625692, 30651759318, 78266507064, 199890070327, 510335125536

OFFSET

1,1

COMMENTS

Column 7 of A255622

FORMULA

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) +12*a(n-4) -18*a(n-5) +7*a(n-6) +153*a(n-7) -237*a(n-8) +95*a(n-9) -885*a(n-11) +1087*a(n-12) -123*a(n-13) -6870*a(n-14) +8984*a(n-15) -1401*a(n-16) -1260*a(n-17) +11772*a(n-18) -16266*a(n-19) +6696*a(n-20) +69471*a(n-21) -114183*a(n-22) +47448*a(n-23) -100*a(n-24) -17955*a(n-25) +5628*a(n-26) -700*a(n-27) -2565*a(n-28) +804*a(n-29) -100*a(n-30)

EXAMPLE

Some solutions for n=4

..2....1....2....1....1....2....2....2....1....0....0....1....2....1....0....0

..0....2....0....2....1....0....0....2....2....0....0....1....2....2....1....0

..0....2....1....0....1....0....0....2....2....0....1....2....2....2....1....2

..0....1....1....1....2....0....2....2....2....0....0....2....0....0....2....0

..1....2....2....0....0....0....2....2....0....1....0....1....0....0....2....0

..0....2....0....0....1....1....2....0....1....1....2....1....0....1....0....0

..1....2....1....0....0....0....1....0....2....0....2....2....1....1....0....0

..2....1....2....0....2....1....2....1....0....0....2....2....2....1....0....1

..2....2....2....0....2....0....0....1....0....1....1....0....0....1....0....1

..2....2....0....0....2....0....0....1....0....1....1....2....2....1....2....2

..2....2....1....2....2....2....2....1....1....0....2....2....2....1....2....2

CROSSREFS

Cf. A255622

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Feb 28 2015

STATUS

approved

editing

#1 by R. H. Hardin at Sat Feb 28 11:30:11 EST 2015

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved