login
Govindarajan's triangle F arising in enumeration of multi-dimensional partitions, read by rows.
1

%I #16 Aug 10 2014 07:03:10

%S 1,0,0,1,0,1,0,1,3,0,1,7,0,1,11,16,0,1,18,58,0,1,26,135,125,0,1,38,

%T 293,618,0,1,52,574,1927,1296,0,1,73,1089,5256,8220,0,1,97,1960,12982,

%U 32380,16807,0,1,131,3468,30320,107270,131897,0,1,172,5955,67414,319530,633442,262144,0,1,227,10085,145045,888983,2490187,2483096

%N Govindarajan's triangle F arising in enumeration of multi-dimensional partitions, read by rows.

%H Suresh Govindarajan, <a href="/A216802/b216802.txt">Table of n, a(n) for n = 1..182</a>

%H Suresh Govindarajan, <a href="http://arxiv.org/abs/1203.4419">Notes on higher-dimensional partitions</a>, J. Comb. Theory, Ser. A 120 (2013) 600-622 (arXiv:1203.4419)

%e Triangle begins:

%e 1

%e 0

%e 0, 1

%e 0, 1

%e 0, 1, 3

%e 0, 1, 7

%e 0, 1, 11, 16

%e 0, 1, 18, 58

%e 0, 1, 26, 135, 125

%e 0, 1, 38, 293, 618

%e 0, 1, 52, 574, 1927, 1296

%e 0, 1, 73, 1089, 5256, 8220

%e 0, 1, 97, 1960, 12982, 32380, 16807

%e ...

%K nonn,tabf,hard

%O 1,9

%A _N. J. A. Sloane_, Sep 17 2012