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A239551 Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-1,0,1}. 2

%I

%S 1,1,1,2,3,4,6,9,13,18,24,34,49,71,100,145,205,295,423,610,872,1260,

%T 1804,2599,3733,5381,7725,11131,15996,23042,33133,47714,68608,98793,

%U 142101,204585,294318,423683,609565,877457,1262508,1817205,2614832,3763553,5415668

%N Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-1,0,1}.

%H Alois P. Heinz, <a href="/A239551/b239551.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) ~ c * d^n, where d=1.4391340589699362028978918824612984596732704665024595117321768607966..., c=0.5987103268327131789103863373328359387911710658212178254615152936898... - _Vaclav Kotesovec_, May 01 2014

%e a(6) = 6: [1,1,1,1,1,1], [1,1,1,1,2], [1,1,2,2], [1,2,2,1], [1,2,3], [1,5].

%Y Column k=1 of A239550.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Mar 21 2014

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Last modified August 12 07:38 EDT 2020. Contains 336438 sequences. (Running on oeis4.)