|
| |
|
|
A017909
|
|
Expansion of 1/(1 - x^15 - x^16 - ...).
|
|
1
| |
|
|
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 21, 25, 30, 36, 43, 51, 60, 70, 81, 93, 106, 120, 135, 151, 169, 190, 215, 245, 281, 324, 375, 435, 505, 586, 679
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,31
|
|
|
FORMULA
| G.f.: (x-1)/(x-1+x^15). - Alois P. Heinz, Aug 04 2008
For positive integers n and k such that k <= n <= 15*k, and 14 devides n-k, define c(n,k) = binomial(k,(n-k)/14), and c(n,k) = 0, otherwise. Then, for n>=1, a(n+15) = sum(c(n,k), k=1..n). - Milan Janjic, Dec 09 2011
|
|
|
MAPLE
| a:= n -> (Matrix(15, (i, j)-> if (i=j-1) then 1 elif j=1 then [1, 0$13, 1][i] else 0 fi)^n)[15, 15]: seq (a(n), n=0..80); # Alois P. Heinz, Aug 04 2008
|
|
|
CROSSREFS
| Sequence in context: A122937 A060340 A078510 * A124695 A005555 A128829
Adjacent sequences: A017906 A017907 A017908 * A017910 A017911 A017912
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
