|
Search: id:A005565
|
|
|
| A005565 |
|
Number of walks on square lattice.
(Formerly M5087)
|
|
+0
1
|
|
| 20, 75, 189, 392, 720, 1215, 1925, 2904, 4212, 5915, 8085, 10800, 14144, 18207, 23085, 28880, 35700, 43659, 52877, 63480, 75600, 89375, 104949, 122472, 142100
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
|
|
LINKS
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6
|
|
FORMULA
|
1/4*(n^4+14n^3+69n^2+136n+80). G.f.: (20-25x+14x^2-3x^3)/(1-x)^5. - Ralf Stephan, Apr 23 2004
|
|
MAPLE
|
seq(add (k^3-n^2, k =0..n), n=4..28 ); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 26 2007
A005565:=(-20+25*z-14*z**2+3*z**3)/(z-1)**5; [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Sequence in context: A002292 A010008 A000529 this_sequence A066126 A083127 A002609
Adjacent sequences: A005562 A005563 A005564 this_sequence A005566 A005567 A005568
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
|
Search completed in 0.002 seconds
|
