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A145550 Number of distinct values taken by 10^10^...^10 (with n 10's and parentheses inserted in all possible ways). 15
1, 1, 2, 4, 9, 20, 48, 115, 286, 719, 1842, 4766, 12486, 32972, 87807, 235365, 634792, 1720976, 4688090, 12824381, 35216108, 97037603, 268229329, 743562936, 2066686470, 5758171390, 16079351152 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..27.

R. K. Guy and J. L. Selfridge, The nesting and roosting habits of the laddered parenthesis, Amer. Math. Monthly 80 (8) (1973), 868-876.

Index entries for sequences related to parenthesizing

CROSSREFS

Cf. A002845, A003018, A003019, A145545, A145546, A145547, A145548, A145549, A000081.

Sequence in context: A292555 A145549 A292556 * A000081 A123467 A124497

Adjacent sequences:  A145547 A145548 A145549 * A145551 A145552 A145553

KEYWORD

more,nonn

AUTHOR

Jon E. Schoenfield, Oct 13 2008

STATUS

approved

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Last modified December 11 13:46 EST 2017. Contains 295876 sequences.