A192932 Squares of numbers in Perrin sequence.

9, 0, 4, 9, 4, 25, 25, 49, 100, 144, 289, 484, 841, 1521, 2601, 4624, 8100, 14161, 24964, 43681, 76729, 134689, 236196, 414736, 727609, 1276900, 2241009, 3932289, 6901129, 12110400, 21252100, 37295449, 65448100

Offset

0,1

Comments

Perrin numbers are numbers in A001608.

Links

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

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

Formula

a(n) = (A001608(n))^2.

G.f.: -x*(-4-5*x+9*x^2-8*x^3+9*x^4)/ ((x^3-x-1)*(x^3-x^2+2*x-1)). - R. J. Mathar, Aug 06 2011

Mathematica

LinearRecurrence[{1, 1, 1, -1, 1, -1}, {9, 0, 4, 9, 4, 25}, 40] (* Harvey P. Dale, May 14 2026 *)

Crossrefs

Cf. A001608.

Sequence in context: A388400 A388391 A389042 * A388435 A361061 A301865

Adjacent sequences: A192929 A192930 A192931 * A192933 A192934 A192935

Keyword

nonn,easy

Author

Kausthub Gudipati, Aug 05 2011

Status

approved