login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A073376 Sixth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. 1
1, 7, 42, 196, 826, 3150, 11256, 38004, 122787, 381997, 1151458, 3376968, 9671284, 27123292, 74669472, 202181112, 539342181, 1419492627, 3690464106, 9487902396, 24143758254, 60861096714 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

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: A266387 A057425 A248329 * A094429 A246434 A255614

Adjacent sequences:  A073373 A073374 A073375 * A073377 A073378 A073379

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 02 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 20 16:17 EDT 2019. Contains 322310 sequences. (Running on oeis4.)