A038339 Bottom line of 5-wave sequence A038201, also bisection of A006358.

1, 15, 190, 2353, 29056, 358671, 4427294, 54648506, 674555937, 8326406594, 102777312308, 1268635610806, 15659451261015, 193293024178230, 2385919696236315, 29450689289430149, 363525688224433321

Offset

0,2

Comments

Denominator of g.f. is sum{k=0..5, (-1)^(k+1)*binomial(10-k,k)x^(5-k)}. This is det(J-x*I) where I is the 5x5 identity matrix and J is the matrix [1 1 0 0 0] [1 2 1 0 0] [0 1 2 1 0] [0 0 1 2 1] [0 0 0 1 2] - Paul Barry, May 11 2006

Links

Table of n, a(n) for n=0..16.

F. v. Lamoen, Wave sequences

Index entries for linear recurrences with constant coefficients, signature (15,-35,28,-9,1).

Formula

Let v(5)=(1, 1, 1, 1, 1), let M(5) be the 5 X 5 matrix m(i, j) =min(i, j); then a(n)= Max ( v(5)*M(5)^n) - Benoit Cloitre, Oct 03 2002

G.f.: 1/(1-15x+35x^2-28x^3+9x^4-x^5); - Paul Barry, May 11 2006

Prog

(PARI) k=5; M(k)=matrix(k, k, i, j, min(i, j)); v(k)=vector(k, i, 1); a(n)=vecmax(v(k)*M(k)^n)

Crossrefs

Sequence in context: A016147 A145601 A004344 * A051545 A220528 A006238

Adjacent sequences: A038336 A038337 A038338 * A038340 A038341 A038342

Keyword

nonn

Author

Floor van Lamoen

Extensions

More terms from Benoit Cloitre, Oct 03 2002

Status

approved