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A092360 Spiro-tribonacci numbers: a(n) = sum of three previous terms that are nearest when terms arranged in a spiral. 1

%I #8 May 04 2021 01:06:52

%S 0,1,1,3,5,8,13,14,28,43,45,89,135,138,143,284,430,438,451,897,1356,

%T 1404,1446,2878,4352,4423,4511,4645,9245,13979,14203,14476,14757,

%U 15184,30225,45693,46407,47275,48164,49512,98573,148982,151235,153968,156749

%N Spiro-tribonacci numbers: a(n) = sum of three previous terms that are nearest when terms arranged in a spiral.

%e Terms are written in square boxes radiating spirally (cf. Ulam prime spiral). a(0) = 0, a(1) = 1 and a(2) = 1, so write 0, then 1 to its right, and another 1 below the first 1. The next unfilled box forms a square with the three filled boxes, so a(3) = a(0) + a(1) + a(2) = 0 + 1 + 1 = 2.

%e .

%e 8--13--14--28

%e |

%e 5 0---1

%e | |

%e 3---2---1

%e .

%e a(4) = 2 because a(0) + a(1) + a(2) = 0 + 1 + 1 = 2.

%Y Cf. A078510, A092369.

%K easy,nonn

%O 0,4

%A _Michael Joseph Halm_, Apr 02 2004; corrected Apr 05 2004

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Last modified September 19 14:36 EDT 2024. Contains 376012 sequences. (Running on oeis4.)