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A085845 Triangle T(n, k) read by rows; given by [0, 1, 0, 1, 0, 1, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938. 1

%I #9 Aug 08 2015 08:26:42

%S 1,0,1,0,1,2,0,1,6,6,0,1,12,40,30,0,1,20,156,474,338,0,1,30,440,4222,

%T 15592,11782,0,1,42,1010,23030,394082,1779222,1407202,0,1,56,2016,

%U 88088,5060140,142358644,709653964,572269334,0,1,72,3640

%N Triangle T(n, k) read by rows; given by [0, 1, 0, 1, 0, 1, ...] DELTA [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where DELTA is Deléham's operator defined in A084938.

%H Alois P. Heinz, <a href="/A085845/b085845.txt">Rows n = 0..60, flattened</a>

%F T(n,2) = A002378(n-1). - _R. J. Mathar_, Aug 08 2015

%F T(n,3) = (n-1)*(n-2)*(4*n^2-17*n+24)/3. - _R. J. Mathar_, Aug 08 2015

%e 1;

%e 0,1;

%e 0,1,2;

%e 0,1,6,6;

%e 0,1,12,40,30;

%e ...

%Y Cf. A002378 (3rd column).

%K nonn,tabl

%O 0,6

%A _N. J. A. Sloane_, Aug 16 2003

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Last modified August 15 11:07 EDT 2024. Contains 375173 sequences. (Running on oeis4.)