1,8

The array is constructed by summing sequences associated with each cyclic partition as indicated below: (n' here denotes the sum of preceding sequences).

.4.......1......2......3......................................

.22......1......3......6......................................

.4'......2......5......9......................................

.5.......1......2......3......4...............................

.32......1......4......9......16..............................

.5'......2......6......12......20.............................

.6.......1......2......3.......4.......5.......6.......7.......8......9

.42......1......4......9......16......25......36......49......64......81

.33......1......3......6......10......15......21......28......36......45

.222.....1......4......10......20......35......56......84......120...165

.6'......4......13.....28......50......80....119......168......228...300

.7.......1......2......3.......4.......5.......6.......7.......8.......9

.52......1......4......9......16......25......36......49......64......81

.43......1......4......9......16......25......36......49......64......81

.322.....1......6......18......40.....75.....126......196.....288.....405

.7'......4......16.....39......76......130...204......301.....424.....576

.8.......1......2......3.......4.......5.......6.......7.......8.......9

.62......1......4......9......16......25......36......49......64......81

.53......1......4......9......16......25......36......49......64......81

.44......1......3......6......10......15......21......28......36......45

.422.....1......6......18......40......75......126......196......288......405

.332.....1......6......18......40......75......126......196......288......405

.2222....1......5......15......35......70......126......210......330......495

.8'......7......30.....78......161......290......477......735......1078......1521

The diagonal 9th diagonal of A060850 is 22 185 810 2580 6765 ... and can be computed from a(n) and A007318 as illustrated:

.1..................

.0......1............

.1......0......1......

.1......2......0......1

.2......2......3......0

.2......5......3......4

.4......6......9......4

.4......13....12......14

.7......16....28......20

........30....39......50

..............78......76

.....................161

times

.1..................

.1......9............

.1......8......45......

.1......7......36......165

.1......6......28......120

.1......5......21......84

.1......4......15......56

.1......3......10......35

.1......2......6......20

........1......3......10

...............1......4

......................1

yields

.1..................

.0......9............

.1......0......45......

.1......14......0.......165

.2......12......84......0

.2......25......63......336

.4......24......135.....224

.4......39......120.....490

.7......32......168.....400

........30......117.....500

................78......304

........................161

summing to

.22.....185.....810.....2580 ...

Cf. A060850 A007318 A002865.

Sequence in context: A033773 A029275 A058739 this_sequence A105422 A166291 A162986

Adjacent sequences: A128624 A128625 A128626 this_sequence A128628 A128629 A128630

nonn,tabl

Alford Arnold (Alford1940(AT)aol.com), Mar 22 2007