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A060522 Number of 4 X n grids of black and white cells, no 3 of same color vertically or horizontally contiguous. 2
10, 100, 378, 2030, 9484, 46746, 225654, 1098136, 5327258, 25875154, 125619088, 609970274, 2961628194, 14380186660, 69822244298 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The 1 X n, 2 X n, 3 X n versions satisfied recurrence relations of degrees 2, 3, 4 respectively, but I have done quite a lot of LLL work and failed to find a degree-5 relation for this one.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..212

FORMULA

Empirical: a(n)=3*a(n-1)+12*a(n-2)+a(n-3)-58*a(n-4)-115*a(n-5)+83*a(n-6)+312*a(n-7)+120*a(n-8)-336*a(n-9)-348*a(n-10)+420*a(n-11)+104*a(n-12)-194*a(n-13)+43*a(n-14)+35*a(n-15)-42*a(n-16)-3*a(n-17)+14*a(n-18)-a(n-19)-a(n-20) - R. H. Hardin, Jan 01 2012

CROSSREFS

Sequence in context: A208416 A208024 A207804 * A086115 A209652 A207072

Adjacent sequences:  A060519 A060520 A060521 * A060523 A060524 A060525

KEYWORD

nonn

AUTHOR

Tom Womack (tom(AT)womack.net)

STATUS

approved

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Last modified December 6 08:38 EST 2021. Contains 349563 sequences. (Running on oeis4.)