A229516 - OEIS

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A229516

Number of n X 3 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 4 0..2 array without adjacent equal elements in the latter.

17, 129, 775, 4193, 23059, 124431, 680991, 3698901, 20206283, 110016923, 600355767, 3271586963, 17843919361, 97271016715, 530426786593, 2891844158939, 15768179521109, 85971178631931, 468755026926535, 2555792909067505

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 3 of A229521.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + 25*a(n-2) - 20*a(n-3) - 102*a(n-4) + 151*a(n-5) - 18*a(n-6) + 5*a(n-7) + 231*a(n-8) + 419*a(n-9) - 945*a(n-10) - 472*a(n-11) + 2170*a(n-12) + 574*a(n-13) + 1442*a(n-14) - 3690*a(n-15) + 1136*a(n-16) - 1022*a(n-17) - 1356*a(n-18) + 1988*a(n-19) - 911*a(n-20) - 417*a(n-21) + 603*a(n-22) - 5369*a(n-23) + 8946*a(n-24) - 6852*a(n-25) + 3802*a(n-26) + 1216*a(n-27) - 4313*a(n-28) + 4655*a(n-29) - 3958*a(n-30) + 2476*a(n-31) + 1330*a(n-32) - 2970*a(n-33) + 2524*a(n-34) - 1231*a(n-35) - 456*a(n-36) + 800*a(n-37) - 387*a(n-38) + 142*a(n-39) - 29*a(n-40) - 44*a(n-41) + 36*a(n-42) - 12*a(n-43) + 4*a(n-44) for n > 45.

EXAMPLE

Some solutions for n=3:

0 1 1 1 0 1 1 2 1 1 1 2 1 1 1 2 0 2 1 1 1

2 0 1 1 1 1 2 0 2 1 1 1 1 1 0 0 1 0 1 1 1

0 2 1 2 1 1 1 2 1 0 1 0 2 0 2 1 1 1 0 1 2

CROSSREFS

Cf. A229521.

Sequence in context: A336186 A159563 A341397 * A352114 A279637 A179818

Adjacent sequences: A229513 A229514 A229515 * A229517 A229518 A229519

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 25 2013

STATUS

approved