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A074364 Semi-tribonacci numbers, from tribonacci by analogy with semi-Fibonacci sequence. 3

%I #11 Mar 22 2023 08:15:50

%S 0,1,1,2,1,4,2,7,1,10,4,15,2,21,7,30,1,38,10,49,4,63,15,82,2,99,21,

%T 122,7,150,30,187,1,218,38,257,10,305,49,364,4,417,63,484,15,562,82,

%U 659,2,743,99,844,21,964,122,1107,7,1236,150,1393,30,1573,187,1790,1,1978,218

%N Semi-tribonacci numbers, from tribonacci by analogy with semi-Fibonacci sequence.

%H T. D. Noe, <a href="/A074364/b074364.txt">Table of n, a(n) for n = 0..10000</a>

%H Cristina Ballantine and George Beck, <a href="https://arxiv.org/abs/2303.11493">Partitions enumerated by self-similar sequences</a>, arXiv:2303.11493 [math.CO], 2023.

%H M. J. Halm, <a href="http://untilheaven.tripod.com/id112.htm">Sequences</a>

%F a(0) = 0, a(1) = 1, a(2n) = a(n), a(2n+1) = a(2n)+a(2n-1)+a(2n-2)

%e a(4)=1 because a(4/2)=a(2)=1.

%Y Cf. A030067, A000073.

%K nonn

%O 0,4

%A _Michael Joseph Halm_, Feb 13 2003

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)