login
A card-arranging problem: values of n such that there exists more than one permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a cube for every i.
3

%I #3 Mar 30 2012 17:29:16

%S 112,115,116,117,119,124,125,126,127,128,129,130,133,175,176,177,178,

%T 179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,

%U 196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212

%N A card-arranging problem: values of n such that there exists more than one permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a cube for every i.

%e 117 is in the sequence with permutations

%e (7,6,...,2,1,117,116,...,9,8) and

%e (26,25,...,2,1,98,97,...28,27,117,116,...,100,99)

%Y Cf. A006063, A073364, A095986, A097082, A097083.

%K nonn

%O 1,1

%A _Ray Chandler_, Jul 25 2004