A109793 a(n) = - a(n-1) - a(n-2) - a(n-3) + 50*(n-4) + 50*a(n-5) + 50*a(n-6) + 50*a(n-7), n >= 8.

1, 1, 1, 1, 1, 5, 25, 169, 1, 205, 1225, 8569, 1, 10205, 61225, 428569, 1, 510205, 3061225, 21428569, 1, 25510205, 153061225, 1071428569, 1, 1275510205, 7653061225, 53571428569, 1, 63775510205, 382653061225, 2678571428569, 1

Offset

0,6

Comments

Floretion Algebra Multiplication Program, FAMP Code: 2jessumseq[ + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e], sumtype: (Y[15], *, inty*sum) (internal program code)

Links

Table of n, a(n) for n=0..32.

Index entries for linear recurrences with constant coefficients, signature (-1,-1,-1,50,50,50,50)

Formula

G.f.: (-1+46*x^4-4*x^3-2*x+118*x^6+92*x^5-3*x^2)/((x+1)*(1+x^2)*(50*x^4-1)).

Crossrefs

Sequence in context: A356596 A134007 A125794 * A112242 A035341 A258369

Adjacent sequences: A109790 A109791 A109792 * A109794 A109795 A109796

Keyword

nonn,easy

Author

Creighton Dement, Aug 14 2005

Status

approved