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Search: id:A103883
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| A103883 |
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Square array T(n,k) read by antidiagonals: coordination sequence for lattice B_n. |
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1
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| 1, 1, 8, 1, 18, 16, 1, 32, 74, 24, 1, 50, 224, 170, 32, 1, 72, 530, 768, 306, 40, 1, 98, 1072, 2562, 1856, 482, 48, 1, 128, 1946, 6968, 8130, 3680, 698, 56, 1, 162, 3264, 16394, 28320, 20082, 6432, 954, 64, 1, 200, 5154, 34624, 83442, 85992, 42130
(list; table; graph; listen)
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OFFSET
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2,3
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REFERENCES
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J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.
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LINKS
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M. Baake and U. Grimm, Coordination sequences for root lattices and related graphs
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (Abstract, pdf, ps).
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FORMULA
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G.f. of n-th row: Sum[i=0..n, {C(2n+1, 2i)-2i*C(n, i)}*x^i ]/(1-x)^n.
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EXAMPLE
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1,8,16,24,32,40,48,
1,18,74,170,306,482,698,
1,32,224,768,1856,3680,6432,
1,50,530,2562,8130,20082,42130,
1,72,1072,6968,28320,85992,214864,
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CROSSREFS
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Rows include A022144, A022145, A022146, A022147, A022148, A022149, A022150, A022151, A022152, A022153, A022154. Columns include A001105. Cf. A103881.
Sequence in context: A126000 A013615 A103884 this_sequence A125235 A019432 A138505
Adjacent sequences: A103880 A103881 A103882 this_sequence A103884 A103885 A103886
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KEYWORD
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nonn,tabl
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AUTHOR
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Ralf Stephan, Feb 20 2005
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