|
Search: id:A073376
|
|
|
| A073376 |
|
Sixth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. |
|
+0
2
|
|
| 1, 7, 42, 196, 826, 3150, 11256, 38004, 122787, 381997, 1151458, 3376968, 9671284, 27123292, 74669472, 202181112, 539342181, 1419492627, 3690464106, 9487902396, 24143758254, 60861096714
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
a(n)=sum(b(k)*c(n-k), k=0..n) with b(k) := A001045(k+1) and c(k) := A073375(k).
a(n)=sum(binomial(n-k+6, 6)*binomial(n-k, k)*2^k, k=0..floor(n/2)).
a(n)=((4884880+4449396*n+1525272*n^2+247653*n^3+19152*n^4+567*n^5)*(n+1)*U(n+1)+2*(2321720+2182242*n+765993*n^2+126621*n^3+9927*n^4+297*n^5)*(n+2)*U(n))/(6!*3^9) with U(n) := A001045(n+1), n>=0.
G.f.: 1/(1-(1+2*x)*x)^7.
|
|
CROSSREFS
|
Seventh (m=6) column of triangle A073370.
Sequence in context: A044109 A110451 A057425 this_sequence A094429 A022731 A092072
Adjacent sequences: A073373 A073374 A073375 this_sequence A073377 A073378 A073379
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 2, 2002
|
|
|
Search completed in 0.002 seconds
|
