login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A268327 T(n,k)=Number of length-(n+1) 0..k arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero. 8
2, 2, 3, 2, 4, 6, 2, 4, 10, 11, 2, 4, 11, 25, 22, 2, 4, 11, 32, 66, 43, 2, 4, 11, 33, 102, 177, 86, 2, 4, 11, 33, 113, 337, 485, 171, 2, 4, 11, 33, 114, 418, 1148, 1348, 342, 2, 4, 11, 33, 114, 434, 1644, 3984, 3797, 683, 2, 4, 11, 33, 114, 435, 1806, 6729, 14030, 10812, 1366, 2, 4 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2.....2.....2......2......2......2......2......2......2......2......2......2

...3.....4.....4......4......4......4......4......4......4......4......4......4

...6....10....11.....11.....11.....11.....11.....11.....11.....11.....11.....11

..11....25....32.....33.....33.....33.....33.....33.....33.....33.....33.....33

..22....66...102....113....114....114....114....114....114....114....114....114

..43...177...337....418....434....435....435....435....435....435....435....435

..86...485..1148...1644...1806...1828...1829...1829...1829...1829...1829...1829

.171..1348..3984...6729...8052...8347...8376...8377...8377...8377...8377...8377

.342..3797.14030..28306..37851..40967..41466..41503..41504..41504..41504..41504

.683.10812.49973.121290.184910.213476.220115.220911.220957.220958.220958.220958

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3)

k=2: a(n) = 7*a(n-1) -14*a(n-2) +21*a(n-4) -7*a(n-5) -6*a(n-6)

k=3: [order 12]

k=4: [order 19]

k=5: [order 29]

k=6: [order 40]

k=7: [order 54]

EXAMPLE

Some solutions for n=9 k=4

..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

..1....0....1....1....0....1....1....1....0....1....0....1....1....1....1....0

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

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A005578(n+1).

Sequence in context: A305811 A239471 A241509 * A053023 A153725 A102247

Adjacent sequences:  A268324 A268325 A268326 * A268328 A268329 A268330

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 01 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 02:54 EDT 2019. Contains 328244 sequences. (Running on oeis4.)