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A012814 Take every 5th term of Padovan sequence A000931, beginning with the third term. 6
0, 1, 5, 21, 86, 351, 1432, 5842, 23833, 97229, 396655, 1618192, 6601569, 26931732, 109870576, 448227521, 1828587033, 7459895657, 30433357674, 124155792775, 506505428836, 2066337330754, 8429820731201 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (5, -4, 1).

FORMULA

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

G.f.: x/(1-5*x+4*x^2-x^3). - Colin Barker, Feb 03 2012

a(n) = A012855(n+4) - A012855(n+3).

EXAMPLE

G.f. = x + 5*x^2 + 21*x^3 + 86*x^4 + 351*x^5 + 1432*x^6 + 5842*x^7 + ...

MATHEMATICA

LinearRecurrence[{5, -4, 1}, {0, 1, 5}, 25] (* Vincenzo Librandi, Feb 03 2012 *)

PROG

(MAGMA) I:=[0, 1, 5 ]; [n le 3 select I[n] else 5*Self(n-1)-4*Self(n-2)+Self(n-3): n in [1..40]]; // Vincenzo Librandi, Feb 03 2012

CROSSREFS

Cf. A012855.

Sequence in context: A273489 A097113 A265939 * A039919 A322875 A292494

Adjacent sequences:  A012811 A012812 A012813 * A012815 A012816 A012817

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Initial term 0 added by Colin Barker, Feb 03 2012

STATUS

approved

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Last modified August 15 01:56 EDT 2020. Contains 336485 sequences. (Running on oeis4.)