A360263 Determinant of the pentadiagonal symmetric nXn Toeplitz Matrix with a=3, b=c=1.

1, 3, 8, 20, 48, 115, 273, 648, 1536, 3640, 8625, 20435, 48416, 114708, 271768, 643875, 1525473, 3614160, 8562688, 20286768, 48063521, 113872355, 269787000, 639180820, 1514350656, 3587807763

Offset

0,2

Links

Table of n, a(n) for n=0..25.

J. Borowska, L. Lacinska, Recurrence form of determinant of a heptadiagonal symmetric Toeplitz matrix, J. Appl. Math. Comp. Mech. 13 (2014) 19-16, remark 1 with a=3, b=c=1.

Index entries for linear recurrences with constant coefficients, signature (2,2,-2,-2,1).

Formula

G.f.: ( -1-x ) / ( (x-1)*(x^4-x^3-3*x^2-x+1) ).

a(n)= 2*a(n-1) +2*a(n-2) -2*a(n-3) -2*a(n-4) +a(n-5).

Crossrefs

Sequence in context: A018794 A018793 A018792 * A018791 A306988 A026723

Adjacent sequences: A360260 A360261 A360262 * A360264 A360265 A360266

Keyword

nonn,easy

Author

R. J. Mathar, Jan 31 2023

Status

approved