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A155661 10^n-7^n+1^n 13
1, 4, 52, 658, 7600, 83194, 882352, 9176458, 94235200, 959646394, 9717524752, 98022673258, 986158712800, 9903110989594, 99321776927152, 995252438490058, 9966767069430400, 99767369486012794, 998371586402089552 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (18,-87,70).

FORMULA

G.f.: 1/(1-10*x)-1/(1-7*x)+1/(1-x). E.g.f.: e^(10*x)-e^(7*x)+e^x.

a(n)=17*a(n-1)-70*a(n-2)+54 with a(0)=1, a(1)=4 [From Vincenzo Librandi, Jul 21 2010]

a(0)=1, a(1)=4, a(2)=52, a(n)=18a(n-1)-87a(n-2)+70a(n-3) [From Harvey P. Dale, May 05 2011]

MATHEMATICA

Table[10^n-7^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{18, -87, 70}, {1, 4, 52}, 21] (* Harvey P. Dale, May 05 2011 *)

CROSSREFS

A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660

Sequence in context: A247746 A221727 A144339 * A198281 A220933 A222321

Adjacent sequences:  A155658 A155659 A155660 * A155662 A155663 A155664

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian, Jan 31 2009

STATUS

approved

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Last modified October 26 02:56 EDT 2014. Contains 248566 sequences.