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A126886 Triangle read by rows, arising in enumeration of 4-trees by diameter. 0

%I #8 Mar 22 2024 08:55:29

%S 1,1,1,1,1,1,1,2,1,1,1,2,5,6,8,7,7,5,5,3,2,1,1,1,2,7,12,23,30,42,47,

%T 55,53,53,45,40,29,23

%N Triangle read by rows, arising in enumeration of 4-trees by diameter.

%C See reference for precise definition.

%H A. T. Balaban, J. W. Kennedy and L. V. Quintas, <a href="http://dx.doi.org/10.1021/ed065p304">The number of alkanes having n carbons and a longest chain of length d</a>, J. Chem. Education, 65 (1988), 304-313.

%e Triangle begins:

%e 1

%e 1

%e 1 1 1

%e 1 1 2 1 1

%e 1 2 5 6 8 7 7 5 5 3 2 1 1

%e 1 2 7 12 23 30 42 47 55 53 53 45 40 29 23 ...

%Y Cf. A000602 (diagonal sums when rows are displaced by the appropriate amounts), A036437.

%K nonn,tabf

%O 0,8

%A _N. J. A. Sloane_, Aug 04 2007

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Last modified April 19 09:16 EDT 2024. Contains 371782 sequences. (Running on oeis4.)