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Search: id:A117485
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| A117485 |
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G.f.: 1/((1-x)*(1-x^2)*(1-x^3))^2. |
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+0
5
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| 1, 2, 5, 10, 18, 30, 49, 74, 110, 158, 221, 302, 407, 536, 698, 896, 1136, 1424, 1770, 2176, 2656, 3216, 3866, 4616, 5481, 6466, 7591, 8866, 10306, 11926, 13747, 15778, 18046, 20566, 23359, 26446, 29855, 33600, 37716, 42224, 47152, 52528, 58388, 64752, 71664
(list; graph; listen)
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OFFSET
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9,2
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COMMENT
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Molien series for S_3 X S_3, cf. A001399.
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EXAMPLE
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As a cross-check, row sixteen of A115994 yields p(16) = 16 + 140 + 74 + 1.
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MAPLE
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with(combstruct):ZL:=[st, {st=Prod(left, right), left=Set(U, card=r), right=Set(U, card=r), U=Sequence(Z, card>=1)}, unlabeled]: subs(r=3, stack): seq(count(subs(r=3, ZL), size=m), m=6..50) ; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 02 2008
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PROGRAM
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(MAGMA) n:=3; G:=SymmetricGroup(n); H:=DirectProduct(G, G); MolienSeries(H); [njas]
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CROSSREFS
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Column one of A115994 is A000027 and column two is A006918 beginning at row four; column three begins at row nine with the present sequence.
Cf. A000027, A006918, A117488, A117489, A001399, A117486.
Sequence in context: A077631 A025223 A104688 this_sequence A084835 A034350 A006327
Adjacent sequences: A117482 A117483 A117484 this_sequence A117486 A117487 A117488
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KEYWORD
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nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Mar 22 2006
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EXTENSIONS
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Entry revised by njas, Mar 10 2007
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