The first 32 solutions for A302931:
  Maximum number of 7's possible in an infinite Minesweeper grid with n mines.
  
By Dmitry Kamenetsky, 16/04/2018

a(1-6)=0

a(7-10)=1
below is a(7)
.......xxx
........7x
.......xxx

a(11-13)=2
below is a(11)
..xx......
.x7x......
.xxx......
.x7.......
.xxx......

a(14-15)=3
..xxxx....
..x77x....
..xxxx....
..x7......
..xxx.....

a(16-19)=4
below is a(16)
.....xxxxx
.....x7x7x
.....x7x7x
.....xxxxx

a(20-21)=5
below is a(20)
.xxxxx....
.x77x7x...
.xxxxxx...
...7x7....
..xxxxx...

a(22-24)=6
below is a(22)
.xxxx.x...
.x77x7x...
.xxxxxx...
..7x77x...
.xxxxxx...

a(25-27)=7
below is a(25)
xxxxxx....
x7x77x....
x7xxxx....
xxx77x....
x7xxxx....
xx........

a(28-29)=8
below is a(28)
.xxxxxx...
.x7x77x...
.x7xxxx...
.xxxx7x...
.x77x7x...
.xxxxxx...

a(30-31)=9
below is a(30)
.xxxxxx...
.x7x7x7x..
.x7x7xxx..
.xxxxx7x..
.x7x7x7x..
..xx.xxx..

a(32)=10
.xxxxxx...
.x77x7x...
.xxxx7x...
.x77xxx...
.xxxx7x...
.x77x7x...
.xxxxxx...