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Search: id:A088536
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A088536 Number of unimodal functions [1..n]->[1..n]. +0
1
1, 4, 22, 130, 791, 4900, 30738, 194634, 1241383, 7963384, 51325352, 332095816, 2155894508, 14035149748, 91593941402, 599021799242, 3924954250975, 25760310654100, 169322682857430, 1114452091832130, 7344021912458295 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = sum_{k=0}^{n-1} binomial(2k+n-1, 2k).

CROSSREFS

Cf. A071920.

Sequence in context: A100525 A086682 A155862 this_sequence A066380 A007195 A067120

Adjacent sequences: A088533 A088534 A088535 this_sequence A088537 A088538 A088539

KEYWORD

nonn

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 16 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Aug 09 2005

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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