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Search: id:A006150
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| A006150 |
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Number of Dyck paths.
(Formerly M4013)
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+0
3
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| 1, 1, 5, 55, 1001, 26026, 884884, 37119160, 1844536720, 105408179176, 6774025632340
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n) is the determinant of the 4X4 Hankel matrix [a_0, a_1, a_2, a_3 ; a_1, a_2, a_3, a_4 ; a_2, a_3, a_4, a_5 ; a_3, a_4, a_5, a_6] with a_j=A000108(n+j) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 12 2007
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REFERENCES
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S. J. Cyvin and I. Gutman, Kekule structures in benzenoid hydrocarbons, Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (see p. 183).
M. de Sainte-Catherine, Couplages et Pfaffiens en Combinatoire. Phys-ique et Informatique. Ph.D Dissertation, Universit\'{e} Bordeaux I, 1983.
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FORMULA
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a(n)=Det[Table[binomial[i+3, j-i+4], {i, 1, n}, {j, 1, n}]] - David Callan (callan(AT)stat.wisc.edu), Jul 20 2005
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CROSSREFS
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Sequence in context: A093352 A135861 A141361 this_sequence A140049 A130031 A119399
Adjacent sequences: A006147 A006148 A006149 this_sequence A006151 A006152 A006153
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KEYWORD
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nonn
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AUTHOR
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njas
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