A092806 Expansion of (1 + 8x - 9x^2)/(1 - 3x + 3x^2 - 1001x^3).

1, 11, 21, 1031, 14041, 60051, 1170061, 17385071, 108756081, 1445344091, 21412220101, 168765465111, 1888849170121, 26593883436131, 243049333374141, 2540104369105151, 33511642426760161, 336206996880480171, 3450730536835416181, 42888724689051729191

Offset

0,2

Comments

Binomial transform of A092804.

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1001).

Formula

a(n) = 91^(n/2)*(cos(n*arccot(-4*sqrt(3)/15))/3 + sqrt(3)*sin(n*arccot(-4*sqrt(3)/15))/3) + 2*11^n/3.

Crossrefs

Sequence in context: A110383 A123783 A163288 * A138485 A006711 A005151

Adjacent sequences: A092803 A092804 A092805 * A092807 A092808 A092809

Keyword

easy,nonn

Author

Paul Barry, Mar 06 2004

Status

approved