|
| |
|
|
A113439
|
|
a(n) = a(n-1) + Sum_{0<k<=n/4} a(n-4k), with a(0)=1.
|
|
6
| |
|
|
1, 1, 1, 1, 2, 3, 4, 5, 8, 12, 17, 23, 34, 50, 72, 101, 146, 212, 306, 436, 627, 905, 1305, 1871, 2689, 3872, 5577, 8014, 11521, 16576, 23858, 34309, 49337, 70968, 102108, 146868, 211233, 303832, 437080, 628708, 904306, 1300737, 1871065, 2691401
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,5
|
|
|
COMMENTS
| If presented in four rows a(4n), a(4n+1), a(4n+2) and a(4n+3) each term is the sum of the previous term in the sequence and the partial sum of its row.
|
|
|
FORMULA
| a(n) = a(n-1)+2a(n-4)-a(n-5) = 9a(n-4)-28a(n-8)+38a(n-12)-20a(n-16)+a(n-20).
G.f.: (1-x^4)/(1-x-2x^4+x^5).
|
|
|
CROSSREFS
| Cf. A113435, A113444, A028495.
Sequence in context: A059747 A094087 A017821 * A018059 A050024 A065490
Adjacent sequences: A113436 A113437 A113438 * A113440 A113441 A113442
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Floor van Lamoen (fvlamoen(AT)hotmail.com), Nov 04 2005
|
| |
|
|
