Revision History for A278330
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
| older changes
|
|
|
|
#12 by Alois P. Heinz at Mon Feb 06 12:28:12 EST 2017
|
|
|
|
#11 by Alois P. Heinz at Mon Feb 06 12:28:07 EST 2017
|
| LINKS
|
Wikipedia, <a href="httphttps://en.wikipedia.org/wiki/Pentomino">Pentomino</a>
|
| STATUS
|
approved
editing
|
|
|
|
#10 by Alois P. Heinz at Thu Nov 24 07:14:25 EST 2016
|
|
|
|
#9 by Alois P. Heinz at Wed Nov 23 11:19:18 EST 2016
|
| FORMULA
|
a(n) mod 2 = A079978(n).
|
| CROSSREFS
|
Cf. A079978, A174249, A233427, A234312, A234931, A247124, A247268, A247443, A249762, A264765, A264812.
|
|
|
|
#8 by Alois P. Heinz at Wed Nov 23 11:09:13 EST 2016
|
| FORMULA
|
G.f.: -(4*x^6+x^3-1) / (8*x^12+ +16*x^11+ +6*x^9+ +4*x^8+ +8*x^7- -21*x^6- -4*x^5 -8*x^4 -2*x^3 -2*x^2+1).
|
|
|
|
#7 by Alois P. Heinz at Wed Nov 23 11:06:59 EST 2016
|
| MAPLE
|
a:= n-> (Matrix(12, (i, j)-> `if`(i+1=j, 1, `if`(i=12,
[-8, -16, 0, -6, -4, -8, 21, 4, 8, 2, 2, 0][j], 0)))^n.
<<1, 0, 2, 1, 12, 10, 59, 52, 276, 349, 1404, 1984>>)[1, 1]:
seq(a(n), n=0..35);
|
|
|
|
#6 by Alois P. Heinz at Fri Nov 18 12:27:37 EST 2016
|
| LINKS
|
<a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,2,2,8,4,21,-8,-4,-6,0,-16,-8).
|
|
|
|
#5 by Alois P. Heinz at Fri Nov 18 12:24:14 EST 2016
|
| LINKS
|
Alois P. Heinz, <a href="/A278330/b278330.txt">Table of n, a(n) for n = 0..1000</a>
|
| KEYWORD
|
nonn,easy,changed
|
|
|
|
#4 by Alois P. Heinz at Fri Nov 18 12:11:27 EST 2016
|
|
|
|
#3 by Alois P. Heinz at Fri Nov 18 12:08:57 EST 2016
|
| EXAMPLE
|
a(2) = 2, a(3) = 1:
.___. .___. ._____.
| | | | | ._. |
| ._| |_. | |_| |_|
|_| | | |_| |_ _|
| | | | | |_| |
|___| |___| |_____| .
|
|
|
|
|