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A247936 Riordan array ((1-2x)/(1-3x), 2x). 0

%I #8 Oct 09 2014 18:54:09

%S 1,1,2,3,2,4,9,6,4,8,27,18,12,8,16,81,54,36,24,16,32,243,162,108,72,

%T 48,32,64,729,486,324,216,144,96,64,128,2187,1458,972,648,432,288,192,

%U 128,256,6561,4374,2916,1944,1296,864,576,384,256,512,19683,13122

%N Riordan array ((1-2x)/(1-3x), 2x).

%C Mirror of A153279.

%F Sum_{k, 0<=k<=n} T(n,k) = 3^n = A000244(n).

%F T(n,k) = A133494(n-k)*2^k.

%F T(2n,n) = A167747(n).

%e Triangle begins:

%e 1

%e 1, 2

%e 3, 2, 4

%e 9, 6, 4, 8

%e 27, 18, 12, 8, 16

%e 81, 54, 36, 24, 16, 32

%e 243, 162, 108, 72, 48, 32, 64

%e Production matrix begins:

%e 1, 2

%e 1, 0, 2

%e 1, 0, 0, 2

%e 1, 0, 0, 0, 2

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

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

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

%Y Cf. A000079, A000244, A133494, A153279, A167747.

%K nonn,tabl

%O 0,3

%A _Philippe Deléham_, Sep 26 2014

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Last modified September 4 20:04 EDT 2024. Contains 375685 sequences. (Running on oeis4.)