login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A247927 T(n,k)=Number of length n+4 0..k arrays with some disjoint pairs in every consecutive five terms having the same sum 14
32, 203, 64, 824, 529, 128, 2365, 2760, 1387, 256, 5496, 9569, 9248, 3649, 512, 11167, 25512, 38753, 31092, 9611, 1024, 20648, 57769, 118416, 157589, 104692, 25265, 2048, 35249, 117256, 298267, 552708, 641575, 352744, 66443, 4096, 56960, 216937, 663080 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....32.....203......824......2365.......5496.......11167........20648

....64.....529.....2760......9569......25512.......57769.......117256

...128....1387.....9248.....38753.....118416......298267.......663080

...256....3649....31092....157589.....552708.....1551533......3785236

...512....9611...104692....641575....2582556.....8083791.....21652632

..1024...25265...352744...2609703...12052496....42077905....123827876

..2048...66443..1189016..10628145...56329528...219338895....709026892

..4096..174817..4008988..43309569..263412952..1144120333...4062290944

..8192..460139.13519544.176541467.1232134860..5970696303..23284325652

.16384.1211409.45597176.719680843.5763691618.31162093065.133483154922

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..2022

FORMULA

Empirical for column k:

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

k=2: [order 12]

k=3: [order 79]

Empirical for row n:

n=1: a(n) = 2*a(n-1) -a(n-3) -2*a(n-5) +2*a(n-6) +a(n-8) -2*a(n-10) +a(n-11); also a polynomial of degree 4 plus a linear quasipolynomial with period 12

n=2: [order 27; also a polynomial of degree 5 plus a linear quasipolynomial with period 420]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n+4)

Sequence in context: A019560 A130811 A232051 * A247928 A184020 A283336

Adjacent sequences:  A247924 A247925 A247926 * A247928 A247929 A247930

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 26 2014

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 January 20 20:50 EST 2021. Contains 340332 sequences. (Running on oeis4.)