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A099868 a(n) = 5a(n - 1) - a(n - 2), a(0) = 3, a(1) = 25. 2
3, 25, 122, 585, 2803, 13430, 64347, 308305, 1477178, 7077585, 33910747, 162476150, 778470003, 3729873865, 17870899322, 85624622745, 410252214403, 1965636449270, 9417930031947, 45124013710465, 216202138520378 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

A. F. Horadam, Pell Identities, Fib. Quart., Vol. 9, No. 3, 1971, pps. 245-252.

LINKS

Table of n, a(n) for n=0..20.

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (5,-1).

FORMULA

|2*A099867(n) + a(n) - A003501(n+1)| = 20*A004254(n)

G.f.=(3+10x)/(1-5x+x^2). - Emeric Deutsch, Dec 03 2004

MAPLE

a[0]:=3: a[1]:=25: for n from 2 to 30 do a[n]:=5*a[n-1]-a[n-2] od: seq(a[n], n=0..25);

PROG

Floretion Algebra Multiplication Program, FAMP

CROSSREFS

Cf. A099868, A003501, A004254.

Sequence in context: A165206 A095664 A215773 * A243228 A112495 A034578

Adjacent sequences:  A099865 A099866 A099867 * A099869 A099870 A099871

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Oct 28 2004

STATUS

approved

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Last modified February 26 16:30 EST 2017. Contains 282689 sequences.