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A062684 Number of addition triangles with apex n (version 1). 8

%I #10 Sep 19 2020 03:42:08

%S 1,2,3,5,7,10,13,18,23,29,37,46,55,68,81,96,115,135,155,183,211,241,

%T 277,317,357,407,457,513,577,645,713,799,885,977,1079,1191,1305,1438,

%U 1571,1717,1875,2048,2221,2423,2625,2840,3077,3333,3589,3876,4163

%N Number of addition triangles with apex n (version 1).

%C An addition triangle has any set of positive numbers as base; other rows are formed by adding pairs of adjacent numbers.

%C Reversing the base counts as a different triangle.

%H Seiichi Manyama, <a href="/A062684/b062684.txt">Table of n, a(n) for n = 1..200</a>

%e For n = 5:

%e 5 5

%e 2,3 3,2 5 5 5 5

%e 1,1,2 2,1,1 4,1 1,4 2,3 3,2 5

%e with seven different bases, so a(5) = 7.

%Y Cf. A028307, A066411, see A062896 for version 2.

%K easy,nonn

%O 1,2

%A _Naohiro Nomoto_, Feb 11 2002

%E Extended and edited by _John W. Layman_, Feb 14 2002

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)