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The square array in A305615 read by antidiagonals.
2

%I #13 Jul 03 2018 20:51:03

%S 0,1,3,4,2,8,9,7,6,15,16,14,5,13,24,25,23,12,11,22,35,36,34,21,10,20,

%T 33,48,49,47,32,19,18,31,46,63,64,62,45,30,17,29,44,61,80,81,79,60,43,

%U 28,27,42,59,78,99,100,98,77,58,41,26,40,57,76,97,120,121,119,96,75,56,39,38,55,74,95,118,143

%N The square array in A305615 read by antidiagonals.

%F If 1 is added to every term we get the array in A269780, which has an explicit formula for the (i,j)-th term.

%e The array in A305615 begins:

%e ^

%e |

%e 4 |... ... ... ... ...

%e +---------------+

%e 3 | 9 14 12 10 |...

%e +-----------+ |

%e 2 | 4 7 5 |11 |...

%e +-------+ | |

%e 1 | 1 2 | 6 |13 |...

%e +---+ | | |

%e 0 | 0 | 3 | 8 |15 |...

%e +---+---+---+---+---

%e 0 1 2 3 4 ...

%e The first few antidiagonals are:L

%e 0,

%e 1, 3,

%e 4, 2, 8,

%e 9, 7, 6, 15,

%e 16, 14, 5, 13, 24,

%e 25, 23, 12, 11, 22, 35,

%e 36, 34, 21, 10, 20, 33, 48,

%e ...

%Y Cf. A305615, A269501, A269780.

%K nonn,tabl

%O 0,3

%A _N. J. A. Sloane_, Jul 03 2018