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A228742 Number of arrays of the median of three adjacent elements of some length 7 0..n array. 1
28, 185, 696, 1943, 4504, 9191, 17088, 29589, 48436, 75757, 114104, 166491, 236432, 327979, 445760, 595017, 781644, 1012225, 1294072, 1635263, 2044680, 2532047, 3107968, 3783965, 4572516, 5487093, 6542200, 7753411, 9137408, 10712019 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A228740

LINKS

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

FORMULA

Empirical: a(n) = (n+1)*(19*n^4+186*n^3+349*n^2+226*n+60)/60.

Empirical: G.f. -x*(-28-17*x-6*x^2+18*x^3-6*x^4+x^5) / (x-1)^6. - R. J. Mathar, Sep 02 2013

EXAMPLE

Some solutions for n=4

..2..2..4..2..2..1..3..2..1..3..0..3..2..0..0..3

..2..2..4..0..2..0..2..1..4..3..2..1..4..1..4..3

..4..2..4..4..1..0..2..0..1..3..0..2..0..4..1..0

..1..4..1..0..4..0..0..1..4..1..0..2..0..1..4..2

..2..1..2..4..1..0..1..3..4..2..0..3..0..4..1..2

CROSSREFS

Sequence in context: A219632 A125338 A126496 * A222967 A263944 A079903

Adjacent sequences:  A228739 A228740 A228741 * A228743 A228744 A228745

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 01 2013

STATUS

approved

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Last modified January 26 08:28 EST 2022. Contains 350577 sequences. (Running on oeis4.)