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A182728 Array T(n,k) = n*k*A000041(n) read by antidiagonals, n,k >= 1. 4

%I #16 Jan 20 2019 23:20:34

%S 1,4,2,9,8,3,20,18,12,4,35,40,27,16,5,66,70,60,36,20,6,105,132,105,80,

%T 45,24,7,176,210,198,140,100,54,28,8,270,352,315,264,175,120,63,32,9,

%U 420,540,528,420,330,210,140,72,36,10,616,840,810,704,525,396,245,160,81,40,11

%N Array T(n,k) = n*k*A000041(n) read by antidiagonals, n,k >= 1.

%e Array begins:

%e 1, 2, 3, 4, 5, 6, 7, ...

%e 4, 8, 12, 16, 20, 24, 28, ...

%e 9, 18, 27, 36, 45, 54, 63, ...

%e 20, 40, 60, 80, 100, 120, 140, ...

%e 35, 70, 105, 140, 175, 210, 245, ...

%e 66, 132, 198, 264, 330, 396, 462, ...

%e 105, 210, 315, 420, 525, 630, 735, ...

%p A182728 := proc(n,k) n*k*combinat[numbpart](n) ; end proc:

%p seq(seq( A182728(d+1-k, k), k=1..d), d=1..10) ; # _R. J. Mathar_, Feb 01 2011

%Y Cf. A000041, A135010, A182729, A183011.

%Y Column 1 gives A066186. Column 24 gives A183009.

%K nonn,easy,tabl

%O 1,2

%A _Omar E. Pol_, Jan 22 2011

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Last modified April 19 17:51 EDT 2024. Contains 371797 sequences. (Running on oeis4.)