A207100 - OEIS

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A207100

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

2, 3, 3, 4, 6, 5, 5, 10, 12, 8, 6, 15, 26, 26, 12, 7, 21, 45, 68, 55, 18, 8, 28, 75, 140, 176, 115, 27, 9, 36, 112, 274, 441, 458, 239, 40, 10, 45, 164, 462, 989, 1382, 1193, 498, 59, 11, 55, 225, 760, 1904, 3579, 4322, 3103, 1038, 87, 12, 66, 305, 1158, 3504, 7868

(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...26....68....140....274.....462.....760.....1158.....1720......2431

.12...55...176....441....989....1904....3504.....5925.....9652.....14850

.18..115...458...1382...3579....7868...16224....30390....54294.....90959

.27..239..1193...4322..12964...32531...75114...155922...305362....557095

.40..498..3103..13511..46952..134517..347794...800088..1717686...3412442

.59.1038..8069..42238.170076..556259.1610482..4105829..9663330..20904257

.87.2162.20982.132051.616065.2300219.7457403.21069969.54364034.128056753

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..9999

EXAMPLE

Some solutions for n=5 k=3

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

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

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

..3....3....3....2....3....2....2....2....3....0....3....3....3....2....3....0

..1....1....3....2....3....1....3....3....2....3....3....3....3....2....2....3

CROSSREFS

Column 1 is A020745(n-2)

Row 2 is A000217(n+1)

Row 3 is A199771(n+1)

Sequence in context: A200668 A200469 A200251 * A281365 A304705 A131187

Adjacent sequences: A207097 A207098 A207099 * A207101 A207102 A207103

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 15 2012

STATUS

approved