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A073397 Eighth convolution of A002605(n) (generalized (2,2)-Fibonacci), n>=0, with itself. 2
1, 18, 198, 1680, 12060, 76824, 446952, 2420352, 12363120, 60151520, 280833696, 1265442048, 5528697408, 23507763840, 97575960960, 396398370816, 1579498956288, 6184543546368, 23833455191040 (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) := A002605(n) see A073387 and the row polynomials of triangles A073405 and A073406.

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) := A002605(k) and c(k) := A073394(k).

a(n) = (2^n)*sum(binomial(n-k+8, 8)*binomial(n-k, k)*(1/2)^k, k=0..floor(n/2)).

G.f.: 1/(1-2*x*(1+x))^9.

CROSSREFS

Ninth (m=8) column of triangle A073387.

Sequence in context: A264356 A034727 A060532 * A020920 A086573 A083812

Adjacent sequences:  A073394 A073395 A073396 * A073398 A073399 A073400

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 02 2002

STATUS

approved

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Last modified August 18 08:57 EDT 2019. Contains 326077 sequences. (Running on oeis4.)