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!)
A216635 T(n,k)=Number of nondecreasing arrays of n 0..n-1 integers with the sum of their k'th powers equal to sum(i^k,i=0..n-1) 7
1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 1, 1, 1, 1, 12, 1, 1, 1, 1, 2, 32, 1, 1, 1, 1, 1, 4, 94, 1, 1, 1, 1, 1, 1, 14, 289, 1, 1, 1, 1, 1, 1, 3, 37, 910, 1, 1, 1, 1, 1, 1, 2, 8, 105, 2934, 1, 1, 1, 1, 1, 1, 1, 3, 18, 309, 9686, 1, 1, 1, 1, 1, 1, 1, 1, 6, 42, 939, 32540, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 100, 2903 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

.......1......1.....1....1...1..1.1.1.1

.......1......1.....1....1...1..1.1.1.1

.......2......1.....1....1...1..1.1.1.1

.......5......1.....1....1...1..1.1.1.1

......12......2.....1....1...1..1.1.1.1

......32......4.....1....1...1..1.1.1.1

......94.....14.....3....2...1..1.1.1.1

.....289.....37.....8....3...1..1.1.1.1

.....910....105....18....6...1..1.1.1.1

....2934....309....42...12...1..1.1.1.1

....9686....939...100...24...1..2.1.1.1

...32540...2903...265...63...2..2.1.1.1

..110780...8865...775..164...7..2.1.1.1

..381676..28163..2241..424..15..5.1.1.1

.1328980..90648..6709.1163..33.11.1.1.1

.4669367.297615.20661.2919.100.18.1.1.1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..325

EXAMPLE

All solutions for n=8 k=4

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

..4....1....1

..4....2....3

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

..4....4....5

..5....5....6

..5....6....6

..7....7....6

CROSSREFS

Column 1 is A002838(n-1)

sum 1..n instead of 0..n-1: A216645

Sequence in context: A331572 A127080 A216645 * A213945 A290771 A014651

Adjacent sequences:  A216632 A216633 A216634 * A216636 A216637 A216638

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 11 2012

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 May 29 20:42 EDT 2020. Contains 334710 sequences. (Running on oeis4.)