cp's OEIS Frontend

A216645 T(n,k)=Number of nondecreasing arrays of n 1..n integers with the sum of their k powers equal to sum(i^k,i=1..n).

%I A216645 #6 Jun 02 2025 08:08:26
%S A216645 1,1,1,1,1,2,1,1,1,5,1,1,1,1,12,1,1,1,1,1,32,1,1,1,1,1,3,94,1,1,1,1,1,
%T A216645 2,8,289,1,1,1,1,1,1,2,25,910,1,1,1,1,1,1,2,6,83,2934,1,1,1,1,1,1,1,2,
%U A216645 12,257,9686,1,1,1,1,1,1,1,1,5,30,788,32540,1,1,1,1,1,1,1,1,1,11,76,2491
%N A216645 T(n,k)=Number of nondecreasing arrays of n 1..n integers with the sum of their k powers equal to sum(i^k,i=1..n).
%C A216645 Table starts
%C A216645 .......1......1.....1....1..1..1.1
%C A216645 .......1......1.....1....1..1..1.1
%C A216645 .......2......1.....1....1..1..1.1
%C A216645 .......5......1.....1....1..1..1.1
%C A216645 ......12......1.....1....1..1..1.1
%C A216645 ......32......3.....2....1..1..1.1
%C A216645 ......94......8.....2....2..1..1.1
%C A216645 .....289.....25.....6....2..1..1.1
%C A216645 .....910.....83....12....5..1..1.1
%C A216645 ....2934....257....30...11..1..2.1
%C A216645 ....9686....788....76...25..1..2.1
%C A216645 ...32540...2491...224...51..2..2.1
%C A216645 ..110780...7885...597..136..4..2.1
%C A216645 ..381676..25099..1801..367..8..3.1
%C A216645 .1328980..80481..5469..886.21..3.1
%C A216645 .4669367.264505.16958.2507.45.14.1
%H A216645 R. H. Hardin, <a href="/A216645/b216645.txt">Table of n, a(n) for n = 1..291</a>
%e A216645 All solutions for n=8 k=4
%e A216645 ..1....1
%e A216645 ..3....2
%e A216645 ..3....3
%e A216645 ..5....4
%e A216645 ..6....5
%e A216645 ..6....6
%e A216645 ..6....7
%e A216645 ..8....8
%Y A216645 Column 1 is A002838(n-1)
%Y A216645 sum 0..n-1 instead of 1..n: A216635
%K A216645 nonn,tabl
%O A216645 1,6
%A A216645 _R. H. Hardin_ Sep 11 2012