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A145545
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Number of distinct values taken by 5^5^...^5 (with n 5's and parentheses inserted in all possible ways).
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15
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1, 1, 2, 4, 9, 20, 48, 115, 285, 715, 1826, 4711, 12303, 32387, 85964, 229662, 617300, 1667787, 4527290, 12340688, 33766612, 92707834, 255329106
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OFFSET
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1,3
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REFERENCES
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R. K. Guy and J. L. Selfridge, The nesting and roosting habits of the laddered parenthesis. Amer. Math. Monthly 80 (1973), 868-876.
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LINKS
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Table of n, a(n) for n=1..23.
Index entries for sequences related to parenthesizing
MathOverflow discussion of related questions
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CROSSREFS
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Cf. A002845, A003018, A003019, A145546, A145547, A145548, A145549, A145550, A000081.
Sequence in context: A036722 A215796 A034824 * A182378 A215971 A034825
Adjacent sequences: A145542 A145543 A145544 * A145546 A145547 A145548
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KEYWORD
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more,nonn
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AUTHOR
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Jon E. Schoenfield (jonscho(AT)hiwaay.net), Oct 13 2008
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STATUS
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approved
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