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A115302 Permutation of natural numbers generated by 3-rowed array shown below. 6

%I #7 Oct 14 2012 09:53:22

%S 1,4,2,7,5,3,10,8,6,13,11,9,16,14,12,19,17,15,22,20,18,25,23,21,28,26,

%T 24,31,29,27,34,32,30,37,35,33,40,38,36,43,41,39,46,44,42,49,47,45,52,

%U 50,48,55,53,51,58,56,54,61,59,57,64,62,60

%N Permutation of natural numbers generated by 3-rowed array shown below.

%C 1 4 7 10 13 16 19 22 25...a(n)=3n+1 => A016777

%C 2 5 8 11 14 17 20 23 26...a(n)=3n+2 => A016789

%C 3 6 9 12 15 18 21 24 27...a(n)=3n => A008585

%C Reversing the direction of the diagonals gives A143097. - _Jeremy Gardiner_, Oct 14 2012.

%D M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988

%D Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta,UTET, CittaStudiEdizioni, Milano 1997

%F For n > 1, a(n+5) = a(n) + 6, iff a(n+5)<a(n): a(n+3k) = a(n) + 3k with k >=1.

%Y Cf. A088520, A090243, A090298, A143097.

%K easy,nonn

%O 1,2

%A _Giovanni Teofilatto_, Mar 05 2006

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