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Search: id:A003113
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| A003113 |
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Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.
(Formerly M0270)
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+0
3
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| 2, 1, 2, 2, 3, 3, 5, 5, 7, 8, 10, 11, 15, 16, 20, 23, 28, 31, 38, 42, 51, 57, 67, 75, 89, 99, 115, 129, 149, 166, 192, 213, 244, 272, 309, 344, 391, 433, 489, 543, 611, 676, 760, 839, 939, 1038, 1157, 1276, 1422, 1565, 1738, 1913, 2119, 2328, 2576, 2826, 3120
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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1 1 0 0 0 0 0 ...
1 1 x 0 0 0 0 0 ...
0 x 1 x^2 0 0 0 ...
0 0 x^2 1 x^3 0 0 ...
0 0 0 x^3 1 x^4 0 0 0 ...
...................
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REFERENCES
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D. H. Lehmer, Course on History of Mathematics, Univ. Calif. Berkeley, 1973.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
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G.f.: 1 + sum(i=1, oo, x^i(i-1)/product(j=1, i, 1-x^j)) - Jon Perry (perry(AT)globalnet.co.uk), Jul 04 2004
a(n) = A003114(n)+A003106(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 17 2004
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CROSSREFS
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Cf. A119469, A003114, A003106.
Sequence in context: A161052 A161256 A161281 this_sequence A152227 A078660 A060177
Adjacent sequences: A003110 A003111 A003112 this_sequence A003114 A003115 A003116
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Herman P. Robinson
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 30 2001
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