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A221907 5^n + 5*n. 2
1, 10, 35, 140, 645, 3150, 15655, 78160, 390665, 1953170, 9765675, 48828180, 244140685, 1220703190, 6103515695, 30517578200, 152587890705, 762939453210, 3814697265715, 19073486328220, 95367431640725, 476837158203230 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-11,5).

FORMULA

G.f.: (1+3*x-24*x^2)/((1-x)^2*(1-5*x)).

a(n) = 7*a(n-1)-11*a(n-2)+5*a(n-3).

a(n) = A176916(n) - 1.

MATHEMATICA

Table[(5^n + 5 n), {n, 0, 30}] (* or *) CoefficientList[Series[(1 + 3 x - 24 x^2)/((1 - x)^2 (1 - 5 x)), {x, 0, 30}], x]

LinearRecurrence[{7, -11, 5}, {1, 10, 35}, 30] (* Harvey P. Dale, Jul 23 2013 *)

PROG

(MAGMA) [5^n + 5*n: n in [0..30]]; /* or */ I:=[1, 10, 35]; [n le 3 select I[n] else 7*Self(n-1)-11*Self(n-2)+5*Self(n-3): n in [1..30]];

(PARI) a(n)=5^n+5*n \\ Charles R Greathouse IV, Apr 18 2013

CROSSREFS

Cf. A107585, A176916.

Sequence in context: A049736 A048507 A240267 * A195269 A070755 A126995

Adjacent sequences:  A221904 A221905 A221906 * A221908 A221909 A221910

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Mar 02 2013

STATUS

approved

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Last modified February 22 19:36 EST 2018. Contains 299469 sequences. (Running on oeis4.)