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| A222021
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Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,3,3,1.
(history;
published version)
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#13 by Susanna Cuyler at Tue Aug 14 21:03:41 EDT 2018
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#12 by Michel Marcus at Tue Aug 14 14:04:10 EDT 2018
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#11 by Colin Barker at Tue Aug 14 13:38:41 EDT 2018
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#10 by Colin Barker at Tue Aug 14 13:38:14 EDT 2018
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| FORMULA
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Empirical: a(n) = a(n-1) +) + a(n-3) +) + a(n-7) +) + a(n-9).
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| STATUS
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proposed
editing
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#9 by Colin Barker at Tue Aug 14 13:36:11 EDT 2018
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#8 by Colin Barker at Tue Aug 14 13:35:37 EDT 2018
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| NAME
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Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,3,3,1.
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| COMMENTS
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Column 2 of A222027.
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| FORMULA
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Empirical: a(n) = a(n-1) +a(n-3) +a(n-7) +a(n-9)).
Empirical g.f.: x*(2 + x + x^2 + x^4 + x^5 + 2*x^6 + x^7 + x^8) / ((1 - x + x^2 - x^3 + x^4)*(1 - x^2 - x^3 - x^4 - x^5)). - Colin Barker, Aug 14 2018
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| EXAMPLE
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Some solutions for n=7, one extended zero followed by filtered positions:
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| CROSSREFS
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Cf. A222027.
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| AUTHOR
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_R. H. Hardin_ _, Feb 05 2013
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| STATUS
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approved
editing
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#7 by R. H. Hardin at Tue Feb 05 09:19:35 EST 2013
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#6 by R. H. Hardin at Tue Feb 05 09:19:32 EST 2013
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#5 by R. H. Hardin at Tue Feb 05 09:11:51 EST 2013
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#4 by R. H. Hardin at Tue Feb 05 09:11:46 EST 2013
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| LINKS
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R. H. Hardin, <a href="/A222021/b222021.txt">Table of n, a(n) for n = 1..210</a>
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