A082152 - OEIS

%I #11 May 23 2015 03:58:28

%S 1,2,5,3,7,12,4,9,15,22,6,11,18,26,35,8,14,21,30,40,51,10,17,25,34,45,

%T 57,70,13,20,29,39,50,63,77,92,16,24,33,44,56,69,84,100,117,19,28,38,

%U 49,62,76,91,108,126,145,23,32,43,55,68,83,99,116,135,155,176,27,37,48,61

%N Dispersion of the complement of the pentagonal numbers.

%C Rectangular array read by antidiagonals; a permutation of the natural numbers. (column 1) = (pentagonal numbers) = A000326(n) = n(3n-1)/2. (Dispersion of complement of column 1 of A082152) = (Transpose of A082153).

%H C. Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions and Dispersions</a>.

%H C. Kimberling, <a href="http://dx.doi.org/10.1090/S0002-9939-1993-1111434-0">Interspersions and dispersions</a>, Proceedings of the American Mathematical Society, 117 (1993) 313-321.

%H Clark Kimberling and John E. Brown, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL7/Kimberling/kimber67.html">Partial Complements and Transposable Dispersions</a>, J. Integer Seqs., Vol. 7, 2004.

%e Northwest corner:

%e 1 2 3 4 6

%e 5 7 9 11 14

%e 12 15 18 21 25

%e 22 26 30 34 39

%e 35 40 45 50 56

%Y Cf. A082153, A000326.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Apr 05 2003