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 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

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Last modified May 25 19:30 EDT 2020. Contains 334595 sequences. (Running on oeis4.)