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A267474 Number of length-6 0..n arrays with no following elements larger than the first repeated value. 1
38, 418, 2490, 10119, 31880, 83972, 193852, 404589, 779938, 1410134, 2418406, 3968211, 6271188, 9595832, 14276888, 20725465, 29439870, 41017162, 56165426, 75716767, 100641024, 132060204, 171263636, 219723845, 279113146, 351320958 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A267471.

LINKS

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

FORMULA

Empirical: a(n) = n^6 + (197/60)*n^5 + 7*n^4 + (43/4)*n^3 + 10*n^2 + (149/30)*n + 1.

Conjectures from Colin Barker, Feb 05 2018: (Start)

G.f.: x*(38 + 152*x + 362*x^2 + 137*x^3 + 37*x^4 - 7*x^5 + x^6) / (1 - x)^7.

a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>7.

(End)

EXAMPLE

Some solutions for n=7:

..0....6....6....4....1....2....0....0....2....0....2....4....0....2....6....4

..5....3....3....2....4....1....7....1....0....6....1....5....2....0....5....6

..1....2....5....5....0....6....2....7....2....7....6....3....6....1....7....2

..6....6....6....2....2....5....3....3....6....7....7....0....2....0....0....0

..1....2....1....6....6....7....7....1....6....3....7....4....3....5....3....7

..5....5....0....1....6....4....2....6....6....1....1....7....1....0....1....4

CROSSREFS

Cf. A267471.

Sequence in context: A159943 A221634 A251056 * A240258 A254471 A039685

Adjacent sequences: A267471 A267472 A267473 * A267475 A267476 A267477

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 15 2016

STATUS

approved

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Last modified February 7 10:30 EST 2023. Contains 360115 sequences. (Running on oeis4.)