login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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