# A109795 a(n)= n*(1+floor(n/10)) has arbitrary "10" and can generalize

Jonathan Post jvospost3 at gmail.com
Wed Aug 27 23:59:47 CEST 2008

```Replace the arbitrary "10" in A109795 with the integer k>1 to get the
array A[k,n] = n*(1+floor(n/k))
which begins:

......|n=1.|.n=2.|.n=3.|.n=4.|.n=5.|.n=6.|.n=7.|.n=8.|.n=9.|.n=10.|
k=2.|...1.|.....4.|....6.|...12.|....15.|...24.|...28.|....40.|..45.|....60.|
k=3.|...1.|.....2.|....6.|....8.|.....10.|...18.|...21.|....24.|..36.|....40.|
k=4.|...1.|.....2.|....3.|....8.|.....10.|...12.|...14.|....24.|..27.|....30.|
k=5.|...1.|.....2.|....3.|....4.|.....10.|...12.|...14.|....16.|..18.|....30.|
k=6.|...1.|.....2.|....3.|....4.|.......5.|...12.|...14.|....16.|..18.|....20.|
k=7.|...1.|.....2.|....3.|....4.|.......5.|.....6.|...14.|....16.|..18.|....20.|
k=8.|...1.|.....2.|....3.|....4.|.......5.|.....6.|.....7.|....16.|..18.|....20.|
k=9.|...1.|.....2.|....3.|....4.|.......5.|.....6.|.....7.|......8.|..18.|....20.|
k=10|..1.|.....2.|....3.|....4.|.......5.|.....6.|.....7.|......8.|....9.|....20.|.A109795

he rows other than k=10 seem not to be in OEIS.

The array, by antidiagonals, is:
1, 1, 4, 1, 2, 6, 1, 2, 6, 12, 1, 2, 3, 8, 15, 1, 2, 3, 8, 10, 24, 1,
2, 3, 4, 10, 18, 28, 1, 2, 3, 4, 10, 12, 21, 40, ...

```