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1, 4, 52, 658, 7600, 83194, 882352, 9176458, 94235200, 959646394, 9717524752, 98022673258, 986158712800, 9903110989594, 99321776927152, 995252438490058, 9966767069430400, 99767369486012794, 998371586402089552
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..18.
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FORMULA
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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]
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MATHEMATICA
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Table[10^n-7^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{18, -87, 70}, {1, 4, 52}, 21] (* From Harvey P. Dale, May 05 2011 *)
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CROSSREFS
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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: A071953 A221727 A144339 * A198281 A220933 A222321
Adjacent sequences: A155658 A155659 A155660 * A155662 A155663 A155664
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KEYWORD
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nonn
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AUTHOR
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Mohammad K. Azarian, Jan 31 2009
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STATUS
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approved
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