|
Search: id:A005676
|
|
|
| A005676 |
|
Sum C(n-k,4*k), k = 0..n.
(Formerly M1610)
|
|
+0
2
|
|
| 1, 1, 1, 1, 1, 2, 6, 16, 36, 71, 128, 220, 376, 661, 1211, 2290, 4382, 8347, 15706, 29191, 53824, 99009, 182497, 337745, 627401, 1167937, 2174834, 4046070, 7517368, 13951852, 25880583, 48009456, 89090436, 165392856, 307137901
(list; graph; listen)
|
|
|
OFFSET
|
0,6
|
|
|
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.
|
|
FORMULA
|
G.f. : (1-3x+3x^2-x^3)/(1-4x+6x^2-4x^3+x^4-x^5)=(1-x)^3/((1-x)^4-x^5); a(n)=sum{k=0..floor(n/2), binomial(n-k, 4k) }; a(n)=4a(n-1)-6a(n-2)+4a(n-3)-a(n-4)+a(n-5). - Paul Barry (pbarry(AT)wit.ie), Jul 23 2004
|
|
MAPLE
|
A005676:=(z-1)**3/(-1+4*z-6*z**2+4*z**3-z**4+z**5); [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Adjacent sequences: A005673 A005674 A005675 this_sequence A005677 A005678 A005679
Sequence in context: A032091 A060354 A140131 this_sequence A038503 A079990 A127902
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 21 2000
|
|
|
Search completed in 0.002 seconds
|
