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A167194 Triangle read by rows. A130713 in the columns. 3

%I #6 Sep 13 2012 02:45:33

%S 1,2,1,1,2,1,0,1,2,1,0,0,1,2,1,0,0,0,1,2,1,0,0,0,0,1,2,1,0,0,0,0,0,1,

%T 2,1,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,1,2,1,0,0,

%U 0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,1,2,1

%N Triangle read by rows. A130713 in the columns.

%F From _Peter Bala_, Sep 12 2012: (Start)

%F T(n,k) = binomial(2,n-k).

%F O.g.f.: (1+x)^2/(1-t*x).

%F Riordan array ((1+x)^2,x).

%F Matrix inverse is signed version of A004736. (End)

%e Table begins:

%e 1,

%e 2,1,

%e 1,2,1,

%e 0,1,2,1,

%e 0,0,1,2,1,

%e 0,0,0,1,2,1,

%e 0,0,0,0,1,2,1,

%e 0,0,0,0,0,1,2,1,

%e 0,0,0,0,0,0,1,2,1,

%e 0,0,0,0,0,0,0,1,2,1,

%e 0,0,0,0,0,0,0,0,1,2,1,

%Y Cf. A130713. A004736.

%K nonn,tabl

%O 1,2

%A _Mats Granvik_, Oct 30 2009

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)