A200668 - OEIS

A200668

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo (k+1)

2, 3, 3, 4, 6, 5, 5, 10, 12, 8, 6, 15, 26, 24, 12, 7, 21, 45, 69, 46, 17, 8, 28, 75, 135, 175, 89, 25, 9, 36, 112, 267, 406, 432, 176, 36, 10, 45, 164, 448, 938, 1217, 1076, 350, 51, 11, 55, 225, 750, 1813, 3283, 3650, 2671, 697, 72, 12, 66, 305, 1125, 3414, 7322, 11516, 10959

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

OFFSET

1,1

COMMENTS

Table starts

..2....3.....4.....5......6.......7.......8........9.......10........11

..3....6....10....15.....21......28......36.......45.......55........66

..5...12....26....45.....75.....112.....164......225......305.......396

..8...24....69...135....267.....448.....750.....1125.....1690......2376

.12...46...175...406....938....1813....3414.....5682.....9412.....14443

.17...89...432..1217...3283....7322...15504....28743....52389.....87890

.25..176..1076..3650..11516...29536...70412...145431...291683....534853

.36..350..2671.10959..40399..119066..319532...735519..1623152...3252623

.51..697..6627.32941.141745..479993.1449895..3719534..9031554..19778869

.72.1391.16421.99044.497298.1935168.6578528.18809812.50252326.120270942

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1497

EXAMPLE

Some solutions for n=7 k=6

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

..5....0....5....6....6....6....6....5....6....2....4....2....4....5....5....4

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

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

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

..2....4....5....6....6....4....3....6....5....5....4....0....2....4....5....4

..4....2....5....5....5....6....0....5....3....4....6....5....5....6....6....5

CROSSREFS

Row 2 is A000217(n+1)

Row 3 is A200252

Row 4 is A200253

Sequence in context: A003971 A349371 A282442 * A200469 A200251 A207100

Adjacent sequences: A200665 A200666 A200667 * A200669 A200670 A200671

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 20 2011

STATUS

approved