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A131640 First differences are periodic: 50, 50, 75, 50, 50, 75, ... 1
985, 1035, 1085, 1160, 1210, 1260, 1335, 1385, 1435, 1510, 1560, 1610, 1685, 1735, 1785, 1860, 1910, 1960, 2035, 2085, 2135, 2210, 2260, 2310, 2385, 2435, 2485, 2560, 2610, 2660, 2735, 2785, 2835, 2910, 2960, 3010, 3085, 3135, 3185, 3260, 3310, 3360 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1, 0, 1, -1).

FORMULA

a(n) = 910 + Sum_{k=0..n}{25/9*[4*(k mod 3)+7*((k+1) mod 3)+10*((k+2) mod 3)]}. - Paolo P. Lava, Sep 26 2007

G.f.: -5*(-197-10*x-10*x^2+182*x^3)/((-1+x)^2*(x^2+x+1)). - R. J. Mathar, Nov 14 2007

MAPLE

A131640 := proc(n) option remember ; if n =0 then 985 ; elif n mod 3 = 0 then A131640(n-1)+75 ; else A131640(n-1)+50 ; fi ; end: seq(A131640(n), n=0..80) ; # R. J. Mathar, Oct 24 2007

MATHEMATICA

LinearRecurrence[{1, 0, 1, -1}, {985, 1035, 1085, 1160}, 50] (* Ray Chandler, Aug 25 2015 *)

PROG

Vec(-5*(-197-10*x-10*x^2+182*x^3)/((-1+x)^2*(x^2+x+1)) + O(x^40)) \\ Andrew Howroyd, Feb 20 2018

CROSSREFS

Sequence in context: A294183 A288840 A289417 * A183718 A163025 A069299

Adjacent sequences:  A131637 A131638 A131639 * A131641 A131642 A131643

KEYWORD

nonn,easy

AUTHOR

Eric M. Adler (eadler(AT)simi.k12.ca.us), Sep 05 2007

EXTENSIONS

Definition supplied by N. J. A. Sloane, Sep 14 2007

More terms from R. J. Mathar, Oct 24 2007

STATUS

approved

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Last modified October 17 21:37 EDT 2019. Contains 328134 sequences. (Running on oeis4.)