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#10 by Alois P. Heinz at Thu Jul 16 12:11:40 EDT 2020
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#9 by Colin Barker at Thu Jul 16 11:38:07 EDT 2020
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#8 by Colin Barker at Thu Jul 16 11:37:01 EDT 2020
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| LINKS
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (98,-1225,4116).
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| FORMULA
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From Colin Barker, Jul 16 2020: (Start)
G.f.: x^2*(5 + 7*x) / ((1 - 7*x)^2*(1 - 84*x)).
a(n) = 98*a(n-1) - 1225*a(n-2) + 4116*a(n-3) for n>3.
(End)
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| PROG
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(PARI) Vec(x^2*(5 + 7*x) / ((1 - 7*x)^2*(1 - 84*x)) + O(x^18)) \\ Colin Barker, Jul 16 2020
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| KEYWORD
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nonn,easy
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| STATUS
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approved
editing
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#7 by Alois P. Heinz at Sun May 10 23:03:07 EDT 2020
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#6 by Andrew Howroyd at Sun May 10 22:50:50 EDT 2020
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#5 by Andrew Howroyd at Sun May 10 22:45:19 EDT 2020
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| FORMULA
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a(n) = (61*84^(n-1) - 61*7^(n-1) - 66*(n-1)*7^(n-1))/847. - Andrew Howroyd, May 10 2020
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| PROG
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(PARI) a(n) = {(61*84^(n-1) - 61*7^(n-1) - 66*(n-1)*7^(n-1))/847} \\ Andrew Howroyd, May 10 2020
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| CROSSREFS
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Cf. A152494, A334773.
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#4 by Andrew Howroyd at Sun May 10 19:02:24 EDT 2020
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| DATA
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0, 5, 497, 42581, 3584693, 301183841, 25300030889, 2125207418285, 178517461842461, 14995467100301177, 1259619238806161681, 105808016078078472389, 8887873350698981879429, 746581361459780256986513, 62712834362629583374730873, 5267878086460945365330876893
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| LINKS
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Andrew Howroyd, <a href="/A152513/b152513.txt">Table of n, a(n) for n = 1..200</a>
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| CROSSREFS
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Cf. A152494.
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| EXTENSIONS
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Terms a(7) and beyond from Andrew Howroyd, May 10 2020
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| STATUS
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approved
editing
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#3 by Russ Cox at Sat Mar 31 12:35:19 EDT 2012
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| AUTHOR
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_R. H. Hardin (rhhardin(AT)att.net), _, Dec 06 2008
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Discussion
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| Sat Mar 31
| 12:35
| OEIS Server: https://oeis.org/edit/global/875
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#2 by N. J. A. Sloane at Sat Oct 02 03:00:00 EDT 2010
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| KEYWORD
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nonn,new
nonn
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| AUTHOR
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Ron R. H. Hardin (rhhardin(AT)att.net), Dec 06 2008
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#1 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009
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| NAME
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1/21 of the number of permutations of 6 indistinguishable copies of 1..n with exactly 2 local maxima.
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| DATA
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0, 5, 497, 42581, 3584693, 301183841
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| OFFSET
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1,2
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| KEYWORD
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nonn
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| AUTHOR
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Ron Hardin (rhhardin(AT)att.net), Dec 06 2008
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| STATUS
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approved
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