cp's OEIS Frontend

A212536 T(n,k)=Number of nondecreasing sequences of n 1..k integers with every element dividing the sequence sum.

%I A212536 #6 Jul 22 2025 22:56:41
%S A212536 1,2,1,3,2,1,4,3,3,1,5,4,5,3,1,6,5,7,5,4,1,7,6,8,10,8,4,1,8,7,11,12,
%T A212536 15,8,5,1,9,8,12,17,21,15,12,5,1,10,9,14,18,30,21,24,12,6,1,11,10,16,
%U A212536 23,33,40,33,29,16,6,1,12,11,18,26,46,44,69,40,39,16,7,1,13,12,19,30,53,64,83,91
%N A212536 T(n,k)=Number of nondecreasing sequences of n 1..k integers with every element dividing the sequence sum.
%C A212536 Table starts
%C A212536 .1.2..3..4..5...6...7...8...9..10..11...12...13...14...15...16...17...18...19
%C A212536 .1.2..3..4..5...6...7...8...9..10..11...12...13...14...15...16...17...18...19
%C A212536 .1.3..5..7..8..11..12..14..16..18..19...22...23...25...27...29...30...33...34
%C A212536 .1.3..5.10.12..17..18..23..26..30..31...40...41...43...47...52...53...59...60
%C A212536 .1.4..8.15.21..30..33..46..53..66..67...87...88...95..111..125..126..143..144
%C A212536 .1.4..8.15.21..40..44..64..76.103.104..148..149..165..197..229..230..271..272
%C A212536 .1.5.12.24.33..69..83.116.145.188.193..290..293..332..428..496..497..606..607
%C A212536 .1.5.12.29.40..91.106.161.202.266.272..474..478..561..747..874..876.1141.1142
%C A212536 .1.6.16.39.57.130.157.245.331.439.455..867..878.1034.1417.1646.1651.2236.2240
%C A212536 .1.6.16.45.70.166.200.334.451.644.665.1424.1440.1713.2384.2785.2793.3927.3932
%H A212536 R. H. Hardin, <a href="/A212536/b212536.txt">Table of n, a(n) for n = 1..877</a>
%e A212536 Some solutions for n=8 k=4
%e A212536 ..1....1....2....1....1....1....1....2....1....1....1....1....2....2....1....1
%e A212536 ..1....2....2....2....1....1....1....3....1....1....1....1....2....2....2....1
%e A212536 ..2....3....3....2....1....1....1....3....1....2....1....2....2....4....2....2
%e A212536 ..2....3....3....2....1....1....1....3....1....2....1....2....2....4....3....2
%e A212536 ..2....3....3....2....1....2....2....3....1....2....1....2....4....4....4....3
%e A212536 ..4....4....3....3....2....2....2....3....1....2....1....2....4....4....4....3
%e A212536 ..4....4....4....3....2....4....2....3....2....2....2....2....4....4....4....3
%e A212536 ..4....4....4....3....3....4....2....4....2....2....4....4....4....4....4....3
%Y A212536 Column 3 is A000212(floor((n+5)/2))
%Y A212536 Row 3 is A106252
%K A212536 nonn,tabl
%O A212536 1,2
%A A212536 _R. H. Hardin_ May 20 2012