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A060928 Expansion of 1/(1-5*x-4*x^3). 3
1, 5, 25, 129, 665, 3425, 17641, 90865, 468025, 2410689, 12416905, 63956625, 329425881, 1696797025, 8739811625, 45016761649, 231870996345, 1194314228225, 6151638187721, 31685674923985, 163205631532825 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,200

Index entries for linear recurrences with constant coefficients, signature (5,0,4).

FORMULA

G.f.: 1/(1-5*x-4*x^3)

a(n)=5*a(n-1)+4*a(n-3), n >= 3; a(n)=5^n, n=0, 1, 2.

MATHEMATICA

CoefficientList[Series[1/(1-5x-4x^3), {x, 0, 30}], x] (* or *) LinearRecurrence[ {5, 0, 4}, {1, 5, 25}, 30] (* Harvey P. Dale, Apr 09 2018 *)

PROG

(PARI) { for (n=0, 200, if (n>2, a=5*a1 + 4*a3; a3=a2; a2=a1; a1=a, if (n==0, a=a3=1, if (n==1, a=a2=5, a=a1=25))); write("b060928.txt", n, " ", a); ) } \\ Harry J. Smith, Jul 14 2009

CROSSREFS

A060926, A060927.

Sequence in context: A082308 A270767 A026718 * A002002 A182626 A184139

Adjacent sequences:  A060925 A060926 A060927 * A060929 A060930 A060931

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Apr 20 2001

STATUS

approved

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Last modified October 19 22:55 EDT 2019. Contains 328244 sequences. (Running on oeis4.)