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A073386 Ninth convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself. 0
1, 20, 230, 1980, 14135, 88264, 497860, 2591160, 12630475, 58295380, 256887774, 1087825180, 4449607565, 17654254880, 68177369040, 257006941664, 948023601910, 3428968838680, 12182953719860 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

For a(n) in terms of U(n+1) and U(n) with U(n) := A000129(n+1) see the row polynomials of triangles A058402 and A058403 and the comment there.

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = sum(b(k)*c(n-k), k=0..n) with b(k) := A000129(k+1) and c(k) := A073385(k).

a(n) = sum((2^n)*binomial(n-k+9, 9)*binomial(n-k, k)*(1/4)^k, k=0..floor(n/2)).

G.f.: 1/(1-(2+x)*x)^10.

a(n) = F'''''''''(n+10, 2)/9!, that is, 1/9! times the 9th derivative of the (n+10)th Fibonacci polynomial evaluated at x=2. - T. D. Noe, Jan 19 2006

CROSSREFS

Tenth (m=9) column of triangle A054456.

Sequence in context: A321674 A264876 A023018 * A022648 A004315 A253010

Adjacent sequences:  A073383 A073384 A073385 * A073387 A073388 A073389

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 02 2002

STATUS

approved

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Last modified August 24 03:51 EDT 2019. Contains 326260 sequences. (Running on oeis4.)