Search: id:A052553
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%I A052553
%S A052553 1,1,0,1,1,0,1,2,0,0,1,3,1,0,0,1,4,3,0,0,0,1,5,6,1,0,0,0,1,6,10,4,0,0,
%T A052553 0,0,1,7,15,10,1,0,0,0,0,1,8,21,20,5,0,0,0,0,0,1,9,28,35,15,1,0,0,0,0,
%U A052553 0,1,10,36,56,35,6,0,0,0,0,0,0,1,11,45,84,70,21,1,0,0,0,0,0,0,1,12,55
%N A052553 Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, 
               k >= 0, read by antidiagonals.
%C A052553 Another version of Pascal's triangle A007318.
%H A052553 <a href="Sindx_Pas.html#Pascal">Index entries for triangles and arrays 
               related to Pascal's triangle</a>
%e A052553 Array begins:
%e A052553 1 0 0 0 0 0 ...
%e A052553 1 1 0 0 0 0 ...
%e A052553 1 2 1 0 0 0 ...
%e A052553 1 3 3 1 0 0 ...
%e A052553 1 4 6 4 1 0 ...
%e A052553 1 5 10 10 5 1 ...
%e A052553 with(combinat): for s from 0 to 20 do for n from s to 0 by -1 do printf(`%d,
               `, binomial(n, s-n)) od:od:
%Y A052553 The official entry for Pascal's triangle is A007318. See also A026729.
%Y A052553 Cf. A052509, A054123, A054124, A008949.
%Y A052553 Sequence in context: A029362 A114510 A077029 this_sequence A045847 A137586 
               A157608
%Y A052553 Adjacent sequences: A052550 A052551 A052552 this_sequence A052554 A052555 
               A052556
%K A052553 nonn,tabl,easy,nice
%O A052553 0,8
%A A052553 N. J. A. Sloane (njas(AT)research.att.com), Mar 17 2000
%E A052553 More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), 
               Mar 17 2000

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