[go: up one dir, main page]

login
Revision History for A008390 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Crystal ball sequence for A_7 lattice.
(history; published version)
#22 by Harvey P. Dale at Sat Dec 16 15:15:56 EST 2017
STATUS

editing

approved

#21 by Harvey P. Dale at Sat Dec 16 15:15:51 EST 2017
MATHEMATICA

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 57, 869, 6637, 33111, 124223, 380731, 1004307}, 30] (* Harvey P. Dale, Dec 16 2017 *)

STATUS

approved

editing

#20 by N. J. A. Sloane at Sun Oct 09 09:34:17 EDT 2016
LINKS

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/ldl7.txt">Abstract</a>, <a href="http://neilsloane.com/doc/ldl7Me220.pdf">pdf</a>, <a href="http://neilsloane.com/doc/ldl7.ps">ps</a>).

Discussion
Sun Oct 09
09:34
OEIS Server: https://oeis.org/edit/global/2566
#19 by Charles R Greathouse IV at Sun Aug 28 18:23:36 EDT 2016
LINKS

T. D. Noe, <a href="/A008390/b008390.txt">Table of n, a(n) for n = 0..1000</a>

Discussion
Sun Aug 28
18:23
OEIS Server: https://oeis.org/edit/global/2561
#18 by R. J. Mathar at Mon Dec 21 14:35:42 EST 2015
STATUS

editing

approved

#17 by R. J. Mathar at Mon Dec 21 14:35:24 EST 2015
LINKS

<a href="/index/Cor#crystal_ball">Index entries for crystal ball sequences</a>

<a href="/index/Cor#crystal_ball">Index entries for crystal ball sequences</a>

<a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).

FORMULA

a(n) = 143/210*n^7+143/60*n^6+451/60*n^5+77/6*n^4+937/60*n^3+707/60*n^2+363/70*n+1. - _T. D. Noe, _, Apr 29 2007

G.f.: (1+x)*(1+48*x+393*x^2+832*x^3+393*x^4+48*x^5+x^6)/(1-x)^8. - _Colin Barker, _, Mar 16 2012

STATUS

approved

editing

#16 by N. J. A. Sloane at Mon Nov 04 11:58:53 EST 2013
AUTHOR

N. J. A. Sloane and _J. H. Conway (conway(AT)math.princeton.edu)_

Discussion
Mon Nov 04
11:58
OEIS Server: https://oeis.org/edit/global/2043
#15 by Charles R Greathouse IV at Thu Oct 04 10:28:13 EDT 2012
LINKS

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://www.research.attneilsloane.com/~njas/doc/ldl7.txt">Abstract</a>, <a href="http://www.research.attneilsloane.com/~njas/doc/ldl7.pdf">pdf</a>, <a href="http://www.research.attneilsloane.com/~njas/doc/ldl7.ps">ps</a>).

Discussion
Thu Oct 04
10:28
OEIS Server: https://oeis.org/edit/global/1833
#14 by Russ Cox at Fri Mar 30 16:45:19 EDT 2012
AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com) _ and J. H. Conway (conway(AT)math.princeton.edu)

Discussion
Fri Mar 30
16:45
OEIS Server: https://oeis.org/edit/global/110
#13 by T. D. Noe at Fri Mar 16 12:00:59 EDT 2012
STATUS

proposed

approved