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A076077 Group the natural numbers so that the n-th group contains n numbers, the k-th number in a group is a multiple of k and the sum of the group is prime: (2), (1, 4), (3, 8, 6), (5, 10, 12, 16), (7, 14, 9, 24, 25), ... 3

%I #4 Dec 05 2013 19:55:46

%S 2,1,4,3,8,6,5,10,12,16,7,14,9,24,25,11,18,15,20,45,30,13,22,21,28,35,

%T 36,42,17,26,27,32,40,48,49,72,19,34,33,44,50,54,56,80,63,23,38,39,52,

%U 55,60,70,64,90,110,29,46,51,68,65,66,77,88,81,120,132,31,58,57,76,75

%N Group the natural numbers so that the n-th group contains n numbers, the k-th number in a group is a multiple of k and the sum of the group is prime: (2), (1, 4), (3, 8, 6), (5, 10, 12, 16), (7, 14, 9, 24, 25), ...

%C For 1 <= k <= n-2, T(n, k) is the smallest multiple of k not already used. T(n, n-1) must be chosen so that T(n, 1)+...+T(n, n-1) is relatively prime to n. - _David Wasserman_, Mar 24 2005

%e 2; 1,4; 3,8,6; 5,10,12,16; 7,14,9,24,25; ...

%Y Cf. A076074, A076075, A076076.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Oct 05 2002

%E More terms from _David Wasserman_, Mar 24 2005

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Last modified April 25 13:12 EDT 2024. Contains 371969 sequences. (Running on oeis4.)