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A206453 Number of 0..6 arrays of length n avoiding the consecutive pattern 0..6 1
7, 49, 343, 2401, 16807, 117649, 823542, 5764787, 40353460, 282473877, 1977314738, 13841186359, 96888186864, 678216484506, 4747509626755, 33232527033825, 232627406762898, 1628389870025548, 11398715248992477, 79790909854760475 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A206455

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) -a(n-7)

Empirical: a(n) = sum{i in 0..floor(n/7)} ((-1)^i*7^(n-7*i)*binomial(n-6*i,i))

CROSSREFS

Sequence in context: A124536 A045578 A126627 * A000420 A050737 A195908

Adjacent sequences:  A206450 A206451 A206452 * A206454 A206455 A206456

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 07 2012

STATUS

approved

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Last modified August 19 23:35 EDT 2017. Contains 290821 sequences.