Search: id:A003404
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%I A003404 M3310
%S A003404 1,1,4,7,14,23,41,63,104,152,230,327,470,647,897,1202,1616,2117,
%T A003404 2775,3566,4580,5787,7301,9092,11298,13885,17028,20688,25076,30154,
%U A003404 36172,43094,51221,60511,71323,83622,97822,113893,132323,153083
%N A003404 Number of solid partitions of n supported on graph of cube.
%D A003404 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences,
Academic Press, 1995 (includes this sequence).
%D A003404 G. E. Andrews, P. Paule and A. Riese, MacMahon's Partition Analysis:
The Omega Package, Europ. J. Combin., 22 (2001), 887-904.
%D A003404 P. A. MacMahon, Memoir on the theory of partitions of numbers - Part
VI, Phil. Trans. Roal Soc., 211 (1912), 345-373 (see Section 98).
%D A003404 J. C. P. Miller, On the enumeration of partially ordered sets of integers,
pp. 109-124 of T. P. McDonough and V. C. Mavron, editors, Combinatorics:
Proceedings of the Fourth British Combinatorial Conference 1973.
London Mathematical Society, Lecture Note Series, Number 13, Cambridge
University Press, NY, 1974.
%H A003404 G. E. Andrews, P. Paule and A. Riese, MacMahon's partition
analysis III. The Omega package, p. 14.
%H A003404 Index entries for sequences related to
posets
%F A003404 G.f.: (1 + 2*q^2 + 2*q^3 + 3*q^4 + 3*q^5 + 5*q^6 + 4*q^7 + 8*q^8 + 4*q^9
+ 5*q^10 + 3*q^11 + 3*q^12 + 2*q^13 + 2*q^14 + q^16)/((1 - q)*(1
- q^2)*(1 - q^3)*(1 - q^4)*(1 - q^5)*(1 - q^6)*(1 - q^7)*(1 - q^8)).
%Y A003404 Sequence in context: A146417 A008370 A048241 this_sequence A139025 A128610
A094968
%Y A003404 Adjacent sequences: A003401 A003402 A003403 this_sequence A003405 A003406
A003407
%K A003404 nonn,nice,easy
%O A003404 0,3
%A A003404 N. J. A. Sloane (njas(AT)research.att.com).
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