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A163206
a(n) = 20*a(n-1) - 92*a(n-2) for n > 1; a(0) = 1, a(1) = 10.
1
1, 10, 108, 1240, 14864, 183200, 2296512, 29075840, 370237696, 4729776640, 60533664768, 775533844480, 9941579730944, 127482480926720, 1635024283287552, 20972097420492800, 269019714347401216, 3450961324262686720, 44269412765292822528, 567899813473689272320
OFFSET
0,2
COMMENTS
Binomial transform of A152267. Tenth binomial transform of powers of 8 interleaved with zeros.
FORMULA
a(n) = ((10+sqrt(8))^n + (10-sqrt(8))^n)/2.
G.f.: (1-10*x)/(1-20*x+92*x^2).
MATHEMATICA
LinearRecurrence[{20, -92}, {1, 10}, 50] (* or *) Table[((10+Sqrt[8])^n + (10-Sqrt[8])^n)/2, {n, 0, 25}] (* G. C. Greubel, Dec 10 2016 *)
PROG
(Magma) [ n le 2 select 9*n-8 else 20*Self(n-1)-92*Self(n-2): n in [1..17] ];
(PARI) Vec((1-10*x)/(1-20*x+92*x^2) + O(x^50)) \\ G. C. Greubel, Dec 10 2016
CROSSREFS
Cf. A152267, A001018 (powers of 8).
Sequence in context: A157084 A059524 A190957 * A246073 A261920 A024527
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Jul 28 2009
EXTENSIONS
Terms a(18) - a(20) added by G. C. Greubel, Dec 10 2016
STATUS
approved