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Search: id:A045531
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| A045531 |
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Number of sticky functions: endofunctions of [ n ] having a fixed point. |
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+0
10
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| 1, 3, 19, 175, 2101, 31031, 543607, 11012415, 253202761, 6513215599, 185311670611, 5777672071535, 195881901213181, 7174630439858727, 282325794823047151, 11878335717996660991, 532092356706983938321
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A045531 is also the central diagonal of A047969. - Alford Arnold (Alford1940(AT)aol.com), May 07 2005
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FORMULA
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n^n-(n-1)^n
E.g.f.: (T - x)/(T-T^2), where T=T(x) is Euler's tree function (see A000169)
With interpolated zeros, ceiling(n/2)^ceiling(n/2)-floor(n/2)^ceiling(n/2). - Paul Barry (pbarry(AT)wit.ie), Jul 13 2005
a(n) = A047969(n,n). - Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 25 2005
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CROSSREFS
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Column |a(n, 2)| of A039621. Row sums of triangle A055858.
Cf. A000312, A066274, A066275
Cf. A047969.
Sequence in context: A094956 A080894 A083071 this_sequence A129481 A121083 A006531
Adjacent sequences: A045528 A045529 A045530 this_sequence A045532 A045533 A045534
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KEYWORD
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easy,nonn
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AUTHOR
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Len Smiley (smiley(AT)math.uaa.alaska.edu)
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